MORE PROGRESSES IN ANALYSIS

MORE PROGRESSES IN ANALYSIS
Proceedings of the 5th International ISAAC Congress

Catania, Italy , 25 - 30 July 2005

CONTENTS


FRONT MATTER	i
Plenary Lectures
CARLEMAN ESTIMATES AND APPLICATIONS TO UNIQUENESS OF THE CONTINUATION AND INVERSE PROBLEMS VICTOR ISAKOV	3
FROM MICROELECTRONICS TO NANOELECTRONICS: MATHEMATICAL CHALLENGES A. M. ANILE and V. ROMANO	13
A CHARACTERIZATION OF THE CALDERÓN PROJECTOR FOR THE BIHARMONIC EQUATION G. C. HSIAO and W. L. WENDLAND	23
SHOCK REFLECTION BY OBSTACLE SHUXING CHEN	39
WEIGHTED FUNCTION SPACES WITH CONSTANT AND VARIABLE SMOOTHNESS O. V. BESOV	55
I.1 Spaces of Differentiable Functions and Applications (V.I. Burenkov)
REGULARIZATION OF THE CAUCHY PROBLEM FOR THE SYSTEM OF ELASTICITY THEORY IN R^m O.I. MAKHMUDOV and I.E. NIYOZOV	69
FIRST LYAPOUNOV METHOD FOR THE ABSTRACT PARABOLIC EQUATION V. A. TRENOGIN	83
I.2 Variable Exponent Analysis and Applications (St. Samko)
SOME RESULTS ON VARIABLE EXPONENT ANALYSIS XIAN-LING FAN	93
FURTHER RESULTS ON VARIABLE EXPONENT TRACE SPACES LARS DIENING and PETER HÄSTÖ	101
VARIABLE EXPONENT SPACES ON METRIC MEASURE SPACES TOSHIHIDE FUTAMURA, PETTERI HARJULEHTO, PETER HÄSTÖ, YOSHIHIRO MIZUTA and TETSU SHIMOMURA	107
I.3 Reproducing Kernels and Related Topics (D. Alpay, A. Berlinet, S. Saitoh)
I.3 Reproducing Kernels and Related Topics	123
TOPICS ON THE BERGMAN KERNEL FOR SOME BALLS K. FUJITA	125
APPLICATIONS OF REPRODUCING KERNELS TO LINEAR SINGULAR INTEGRAL EQUATIONS THROUGH THE TIKHONOV REGULARIZATION H. ITOU and S. SAITOH	135
REPRODUCING KERNEL HILBERT SPACES AND RANDOM MEASURES CHARLES SUQUET	143
REPRODUCING KERNELS IN PROBABILITY AND STATISTICS ALAIN BERLINET	153
SPLINES WITH NON POSITIVE KERNELS STÉPHANE CANU, CHENG SOON ONG and XAVIER MARY	163
ALGEBRAIC, DIFFERENTIAL, INTEGRAL AND SPECTRAL PROPERTIES OF MERCER-LIKE-KERNELS JORGE BUESCU and A. C. PAIXÃO	175
I.4 Integral Transforms and Applications (A. Kilbas, S. Saitoh, V. Tuan, A.I. Zayed)
ANALYTICAL AND NUMERICAL REAL INVERSION FORMULAS OF THE LAPLACE TRANSFORM T. MATSUURA and S. SAITOH	191
INTEGRAL TRANSFORM WITH THE EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION A.A. KILBAS and A.A. KOROLEVA	201
RELATIONSHIPS BETWEEN CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONDITIONAL CONVOLUTION PRODUCT OF UNBOUNDED FUNCTIONS OVER WIENER PATHS IN ABSTRACT WIENER SPACE B. I. SEUNG and D. H. CHO	211
CHANGE OF SCALE FORMULAS FOR WIENER INTEGRALS AND FOURIER-FEYNMAN TRANSFORMS IL YOO, TEUK SEOB SONG, BYOUNG SOO KIM and KUN SOO CHANG	221
SOBOLEV TYPE SPACES ASSOCIATED WITH THE KONTOROVICH-LEBEDEV TRANSFORM SEMYON B. YAKUBOVICH	231
FOURIER TYPE ANALYSIS AND QUANTUM MECHANICS SHUJI WATANABE	241
THE SINGULAR VALUE DECOMPOSITION FOR GENERALIZED TRANSFORM OF RADON TYPE IN Rⁿ JINPING WANG	251
EYE DIRECTION BY STEREO IMAGE PROCESSING KUMIKO TSUJI and MIKI AOYAGI	259
SOME INTEGRAL EQUATIONS WITH MODIFIED BESSEL FUNCTIONS JURI M. RAPPOPORT	269
THE ZETA FUNCTION FOR LEARNING THEORY AND RESOLUTION OF SINGULARITIES MIKI AOYAGI and SUMIO WATANABE	279
THE BACKGROUND AND SURVEY OF RECENT RESULTS IN THE THEORY OF FUNCTIONS OF ω-BOUNDED TYPE IN THE HALF-PLANE ARMEN M. JERBASHIAN	289
FRACTIONAL MODELING AND APPLICATIONS S. KEMPFLE, K. KRÜGER and I. SCHÄFER	301
EULER-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS A.A. KILBAS, M. RIVERO and J.J. TRUJILLO	311
I.5 Toeplitz and Toeplitz-like Operators (S. Grudski, N. Vasilevski)
LOCAL PROPERTIES OF THE SEGAL-BARGMANN PROJECTION AND Ψ₀-ALGEBRAS W. BAUER	327
I.5 Toeplitz and Toeplitz-like Operators	325
C-ALGEBRAS OF BERGMAN TYPE OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS ON BOUNDED DOMAINS YD. I. KARLOVICH* and L. V. PESSOA	339
A CRITERION FOR LATERAL INVERTIBILITY OF MATRIX WIENER-HOPF PLUS HANKEL OPERATORS WITH GOOD HAUSDORFF SETS A. P. NOLASCO and L. P. CASTRO	349
POTENTIAL TYPE OPERATORS ON CARLESON CURVES ACTING ON WEIGHTED HÖLDER SPACES V. RABINOVICH	359
UPPER AND LOWER INDICES OF A CERTAIN CLASS OF MONOTONIC FUNCTIONS IN CONNECTION WITH FREDHOLMNESS OF SINGULAR INTEGRAL OPERATORS NATASHA SAMKO	369
THE ASYMPTOTIC BEHAVIOR OF THE TRACE OF GENERALIZED TRUNCATED INTEGRAL CONVOLUTIONS O. N. ZABRODA	377
MULTIPLICATION AND TOEPLITZ OPERATORS ON THE ANALYTIC BESOV SPACES N. ZORBOSKA	387
I.6 Wavelets (R. Hochmuth, M. Holschneider)
I.6 Wavelets	397
S-ASYMPTOTIC AND S-ASYMPTOTIC EXPANSION OF DISTRIBUTIONAL WAVELET TRANSFORM K. SANEVA and A. BUČKOVSKA	399
A WAVELET-BASED VECTORIAL APPROACH FOR AN INTEGRAL FORMULATION OF ANTENNA PROBLEMS F.P. ANDRIULLI, A. TABACCO and G. VECCHI	407
NEW REPRODUCING SUBGROUPS OF Sp(2, ℝ) E. CORDERO, F. DE MARI and A. TABACCO	415
I.8 Pseudo-Differential Operators (J. Toft, M.W. Wong)
L² STABILITY AND BOUNDEDNESS OF THE FOURIER INTEGRAL OPERATORS APPLIED TO THE THEORY OF THE FEYNMAN PATH INTEGRAL WATARU ICHINOSE	423
SMOOTH FUNCTIONAL DERIVATIVES IN FEYNMAN PATH INTEGRALS BY TIME SLICING APPROXIMATION NAOTO KUMANO-GO and DAISUKE FUJIWARA	429
I.9 Stochastic Analysis (N. Jacob, Y. Xiao)
I.9 Stochastic Analysis	439
IDENTIFICATION AND SERIES DECOMPOSITION OF ANISOTROPIC GAUSSIAN FIELDS A. AYACHE, A. BONAMI and A. ESTRADE	441
SUBORDINATION IN FRACTIONAL DIFFUSION PROCESSES VIA CONTINUOUS TIME RANDOM WALK R. GORENFLO, F. MAINARDI and A. VIVOLI	451
FUNCTIONAL SPACES AND OPERATORS CONNECTED WITH SOME LÉVY WHITE NOISES E. LYTVYNOV	467
II.1 Quantitative Analysis of Partial Differential Equations (M. Reissig, J. Wirth)
II.1 Quantitative Analysis of Partial Differential Equations	481
IDENTIFICATION OF LINEAR DYNAMIC SYSTEMS A. KRYVKO and V.V. KUCHERENKO	483
STRONGLY HYPERBOLIC COMPLEX SYSTEMS, REDUCED DIMENSION AND HERMITIAN SYSTEMS II JEAN VAILLANT	493
STABILITY OF STATIONARY SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS WITH MULTIPLE CHARACTERISTICS A. KRYVKO and V.V. KUCHERENKO	511
THE FUNDAMENTAL SOLUTION FOR ONE CLASS OF DEGENERATE ELLIPTIC EQUATIONS M.S. SALAKHITDINOV and A. HASANOV	521
ON THE SPECTRUM OF SCHRÖDINGER OPERTORS WITH OSCILLATING LONG-RANGE POTENTIALS KIYOSHI MOCHIZUKI	533
REGULAR GLOBAL SOLUTIONS OF SEMI-LINEAR EVOLUTION EQUATIONS WITH SINGULAR PSEUDO-DIFFERENTIAL PRINCIPAL PART D. GOURDIN, H. KAMOUN and O. BEN KHALIFA	543
ASYMPTOTIC BEHAVIOUR FOR KIRCHHOFF EQUATION TOKIO MATSUYAMA	553
SOME RESULTS ON GLOBAL EXISTENCE AND ENERGY DECAY OF SOLUTIONS TO THE CAUCHY PROBLEM FOR A WAVE EQUATION WITH A NONLINEAR DISSIPATION ABBES BENAISSA	561
NON-NEGATIVE SOLUTIONS OF THE CAUCHY PROBLEM FOR SEMILINEAR WAVE EQUATIONS AND NON-EXISTENCE OF GLOBAL NON-NEGATIVE SOLUTIONS HIROSHI UESAKA	571
ON THE LARGE TIME BEHAVIOR OF SOLUTIONS TO SEMILINEAR SYSTEMS OF THE WAVE EQUATION S. KATAYAMA and H. KUBO	581
LEVI CONDITIONS FOR HIGHER ORDER OPERATORS WITH FINITE DEGENERACY FERRUCCIO COLOMBINI and GIOVANNI TAGLIALATELA	591
A THEORY OF DIAGONALIZED SYSTEMS OF NONLINEAR EQUATIONS AND APPLICATION TO AN EXTENDED CAUCHY-KOWALEVSKY THEOREM SADAO MIYATAKE	603
II.2 Boundary Value Problems and Integral Equations (P. Krutitskii)
INFLUENCE OF SIGNORINI BOUNDARY CONDITION ON BIFURCATION IN REACTION-DIFFUSSION SYSTEMS MILAN KUČERA	617
WAVE PROPAGATION IN A 3-D OPTICAL WAVEGUIDE II: NUMERICAL EXAMPLES G. CIRAOLO and O. ALEXANDROV	627
ON A DIRICHLET BOUNDARY VALUE PROBLEM FOR COUPLED SECOND ORDER DIFFERENTIAL EQUATIONS M. HIHNALA and S. SEIKKALA	637
EXISTENCE OF A CLASSICAL SOLUTION AND NON–EXISTENCE OF A WEAK SOLUTION TO THE HARMONIC DIRICHLET PROBLEM IN A PLANAR DOMAIN WITH CRACKS P.A. KRUTITSKII	647
II.3 Elliptic and Parabolic Nonlinear Problems (F. Nicolosi)
HARNACK INEQUALITIES FOR ENERGY FORMS ON FRACTALS SETS MARIA AGOSTINA VIVALDI	659
ELLIPTIC SYSTEMS IN DIVERGENCE FORM WITH DISCONTINUOUS COEFFICIENTS ANTONIO TARSIA	669
DIRECTIONAL LOCALIZATION OF SOLUTIONS TO ELLIPTIC EQUATIONS WITH NONSTANDARD ANISOTROPIC GROWTH CONDITIONS S. N. ANTONTSEV and S. I. SHMAREV	681
BIFURCATION DIRECTION AND EXCHANGE OF STABILITY FOR AN ELLIPTIC UNILATERAL BVP JAN EISNER, MILAN KUČERA and LUTZ RECKE	691
NON LOCAL HARNACK INEQUALITIES FOR A CLASS OF PARTIAL DIFFERENTIAL EQUATIONS U. BOSCAIN and S. POLIDORO	701
Γ-CONVERGENCE FOR STRONGLY LOCAL DIRICHLET FORMS IN OPEN SETS WITH HOLES M. BIROLI and N.A. TCHOU	711
MOUNTAIN PASS TECHNIQUES FOR SOME CLASSES OF NONVARIATIONAL PROBLEMS M. GIRARDIE, S. MATALONI and M. MATZEU	721
ON SOME SCHRÖDINGER TYPE EQUATIONS SERGIO POLIDORO and MARIA ALESSANDRA RAGUSA	729
EXISTENCE AND UNIQUENESS OF CLASSICAL SOLUTIONS TO CERTAIN NONLINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS AND APPLICATIONS D. R. AKHMETOV, M. M. LAVRENTIEV, Jr. and R. SPIGLER	737
ON EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF QUASILINEAR DEGENERATE PARABOLIC EQUATIONS IN UNBOUNDED DOMAINS S. BONAFEDE and F. NICOLOSI	747
MULTIPLE SOLITARY WAVES FOR NON-HOMOGENEOUS KLEIN-GORDON-MAXWELL EQUATIONS A.M. CANDELA and A. SALVATORE	753
A QUADRATIC BOLZA-TYPE PROBLEM IN STATIONARY SPACE TIMES WITH CRITICAL GROWTH R. BARTOLO, A.M. CANDELA and J.L. FIORES	763
REGULARITY OF MINIMIZERS OF SOME DEGENERATE INTEGRAL FUNCTIONALS V. CATALDO, S. D'ASERO and F. NICOLOSI	771
ON THE OPTIMAL RETRACTION PROBLEM FOR γ-LIPSCHITZ MAPPINGS AND APPLICATIONS GIULIO TROMBETTA	775
SOME REMARKS ON NIRENBERG-GAGLIARDO INTERPOLATION INEQUALITY IN ANISOTROPIC CASE FRANCESCO NICOLOSI and PAOLO CIANCI	785
HAUSDORFF DIMENSION OF SINGULAR SETS OF SOBOLEV FUNCTIONS AND APPLICATIONS DARKO ŽUBRINIĆ	793
II.4 Variational Methods for Nonlinear Equations (B. Ricceri)
II.4 Variational Methods for Nonlinear Equations	803
ELLIPTIC EIGENVALUE PROBLEMS ON UNBOUNDED DOMAINS INVOLVING SUBLINEAR TERMS A. KRISTÁLY	805
ELLIPTIC BOUNDARY VALUE PROBLEMS INVOLVING OSCILLATING NONLINEARITIES GIOVANNI ANELLO	815
INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM FOR THE P-LAPLACIAN F. CAMMAROTO, A. CHINNÍ and B. DI BELLA	823
INFINITELY MANY SOLUTIONS TO DIRICHLET AND NEUMANN PROBLEMS FOR QUASILINEAR ELLIPTIC SYSTEMS ANTONIO GIUSEPPE DI FALCO	833
MULTIPLICITY RESULTS FOR A NEUMANN-TYPE PROBLEM INVOLVING THE P-LAPLACIAN F. CAMMAROTO, A. CHINNÌ and B. DI BELLA	843
MULTIPLE SOLUTIONS TO A CLASS OF ELLIPTIC DIFFERENTIAL EQUATIONS GIUSEPPE CORDARO	853
ONE CAN HEAR THE SHAPES OF SOME NON-CONVEX DRUMS WAICHIRO MATSUMOTO, Minoru Murai and Shoji Yotsutani	863
MULTIPLICITY RESULTS FOR TWO POINTS BOUNDARY VALUE PROBLEMS A. CHINNÌ, F. CAMMAROTO and B. Di BELLA	873
MULTIPLE SOLUTIONS FOR AN ORDINARY SECOND ORDER SYSTEM R. LIVREA	881
SOME MULTIPLICITY RESULTS FOR SECOND ORDER NON-AUTONOMOUS SYSTEMS FRANCESCA FARACI	889
A PURELY VECTORIAL CRITICAL POINT THEOREM BIAGIO RICCERI	897
ON MINIMIZATION IN INFINITE DIMENSIONAL BANACH SPACES E. BRÜNING	901
EXISTENCE RESULTS FOR NONLINEAR HEMIVARIATIONAL INEQUALILTIES P. CANDITO	921
III.2 Dirac operators in Analysis and Related Topics (J. Ryan, I. Sabadini)
III.1 Complex Analysis and Potential theory (M. Lanza de Cristoforis, P. Tamrazov)
III.1 Complex analysis and potential theory	929
MOSER'S CONJECTURE ON GRUNSKY INEQUALITIES AND BEYOND SAMUEL KRUSHKAL	931
FINELY MEROMORPHIC FUNCTIONS IN CONTOUR-SOLID PROBLEMS T. ALIYEV AZEROGLU and P.M. TAMRAZOV	945
A SINGULAR DOMAIN PERTURBATION PROBLEM FOR THE POISSON EQUATION MASSIMO LANZA DE CRISTOFORIS	955
ITERATION DYNAMICAL SYSTEM OF DISCRETE LAPLACIANS AND THE EVOLUTION OF EXTINCT ANIMALS KAZUO KOSAKA and OSAMU SUZUKI	967
COMMUTATIVE ALGEBRAS OF HYPERCOMPLEX MONOGENIC FUNCTIONS AND SOLUTIONS OF ELLIPTIC TYPE EQUATIONS DEGENERATING ON AN AXIS S. PLAKSA	977
QUATERNIONIC BACKGROUND OF THE PERIODICITY OF PETAL AND SEPAL STRUCTURES IN SOME FRACTALS OF THE FLOWER TYPE JULIAN LAWRYNOWICZ, STEFANO MARCHIAFAVA and MAŁGORZATA NOWAK-KȨPCZYK	987
III.2 Dirac operators in analysis and related topics	997
ON SOME RELATIONS BETWEEN REAL, COMPLEX AND QUATERNIONIC LINEAR SPACES M.E. LUNA-ELIZARRARÁS and M. SHAPIRO	999
HOLOMORPHIC FUNCTIONS AND REGULAR QUATERNIONIC FUNCTIONS ON THE HYPERKÄHLER SPACE ℍ A. PEROTTI	1009
A NEW DOLBEAULT COMPLEX IN QUATERNIONIC AND CLIFFORD ANALYSIS F. COLOMBO, I. SABADINI, A. DAMIANO and D. C. STRUPPA	1019
SOME INTEGRAL REPRESENTATIONS AND ITS APPLICATIONS IN CLIFFORD ANALYSIS ZHONGXIANG ZHANG	1033
CLIFFORD ALGEBRA APPLIED TO THE HEAT EQUATION P. CEREJEIRAS and F. SOMMEN	1043
CAUCHY-TYPE INTEGRAL FORMULAS FOR k-HYPERMONOGENIC FUNCTIONS SIRKKA-LIISA ERIKSSON	1051
DECONSTRUCTING DIRAC OPERATORS I: QUANTITATIVE HARTOGS-ROSENTHAL THEOREMS MIRCEA MARTIN	1065
HYPERMONOGENIC AND HOLOMORPHIC CLIFFORDIAN FUNCTIONS ERIC LEHMAN	1075
A FRACTAL RENORMALIZATION THEORY OF INFINITE DIMENSIONAL CLIFFORD ALGEBRA AND RENORMALIZED DIRAC OPERATOR JULIAN LAWRYNOWICZ, KIYOHARU NÔNO and OSMAU SUZUKI	1085
ANALYTIC FUNCTIONS IN ALGEBRAS Y. KRASNOV	1095
III.4 Complex and Functional Analytic Methods in Partial Differential Equations (H. Begehr, D.-Q. Dai, A. Soldatov)
III.4 Complex and functional analysis methods in pdes	1107
ON DISTRIBUTION OF ZEROS AND ASYMPTOTICS OF SOME RELATED QUANTITIES FOR ORTHOGONAL POLYNOMIALS ON THE UNIT CIRCLE ZHIHUA DU and JINYUAN DU	1109
REPRESENTATION OF PSEUDOANALYTIC FUNCTIONS IN THE SPACE P. BERGLEZ	1119
HILBERT BOUNDARY VALUE PROBLEM FOR A CLASS OF METAANALYTIC FUNCTIONS ON THE UNIT CIRCUMFERENCE YUFENG WANG	1127
FOUR BOUNDARY VALUE PROBLEMS FOR THE CAUCHY-RIEMANN EQUATION IN A QUARTER PLANE S.A. ABDYMANAPOV, H. BEGEHR, G. HARUTYUNYAN and A.B. TUNGATAROV	1137
MIXED BOUNDARY VALUE PROBLEM FOR INHOMOGENEOUS POLY-ANALYTIC-HARMONIC EQUATION AJAY KUMAR and RAVI PRAKASH	1149
INITIAL VALUE PROBLEM FOR A SYSTEM OF EQUATIONS OF CRYSTAL OPTICS N.A. ZHURA	1163
ON REPRESENTATION OF SOLUTIONS OF SECOND ORDER ELLIPTIC SYSTEMS IN THE PLANE A.P. SOLDATOV	1171
QUANTITATIVE TRANSFER OF SMALLNESS FOR SOLUTIONS OF ELLIPTIC EQUATIONS WITH ANALYTIC COEFFICIENTS AND THEIR GRADIENTS E. MALINNIKOVA	1185
THE SOLUTION OF SPECTRAL PROBLEMS FOR THE CURL AND STOKES OPERATORS WITH PERIODIC BOUNDARY CONDITIONS AND SOME CLASSES OF EXPLICIT SOLUTIONS OF NAVIER-STOKES EQUATIONS R.S. SAKS	1195
ABOUT ONE CLASS OF LINEAR FIRST ORDER OVERDETERMINED SYSTEMS WITH INTERIOR SINGULAR AND SUPER-SINGULAR MANIFOLDS NUSRAT RAJABOV	1207
ON THE CONSTRUCTION OF THE GENERAL SOLUTIONS OF THE CLASSES OF ABEL'S EQUATIONS OF THE SECOND KIND DIMITRIOS E. PANAYOTOUNAKOS	1219
QUALITATIVE THEORY OF NONLINEAR ODE's IN ALGEBRAS Y. KRASNOV and S. ZUR	1229
III.5 Complex Analytic Methods in the Applied Sciences (V.V. Mityushev, S.V. Rogosin)
III.5 Complex analytic methods in the applied sciences	1241
THE WEIERSTRASS ${\cal P}$–FUNCTION IS NOT TOPOLOGICALLY ELEMENTARY V.V. MITYUSHEV and S.V. ROGOSIN	1243
ON APPLICATION OF THE MONOTONE OPERATOR METHOD TO SOLVABILITY OF NONLINEAR SINGULAR INTEGRAL EQUATIONS S.V. ROGOSIN	1247
ANALYTICAL AND NUMERICAL RESULTS FOR THE EFFECTIVE CONDUCTIVITY OF 2D COMPOSITE MATERIALS WITH RANDOM POSITION OF CIRCULAR REINFORCEMENTS E.V. PESETSKAYA, T. FIEDLER, A. ÖCHSNER, J. GRÁCIO and S.V. ROGOSIN	1259
STRAINS IN TISSUE DEVELOPMENT: A VORTEX DESCRIPTION R. WOJNAR	1271
AN ANALYTIC SOLUTION OF THE ORNSTEIN-ZERNIKE EQUATION FOR A FLUID AND ITS APPLICATION M. YASUTOMI	1283
III.6 Value Distribution Theory and Related Topics (P.C. Hu, P. Li, C.C. Yang)
FINITE FOURIER TRANSFORMS AND THE ZEROS OF THE RIEMANN ξ-FUNCTION II GEORGE CSORDAS and CHUNG-CHUN YANG	1295
CONDITION POUR LES ZÉROS DE LA FONCTION HOLOMORPHE, BORNÉE ET SECOND PROBLÉM DE COUSIN DANS LE BIDISQUE-UNITÉ DE ℂ² KAZUKO KATÔ	1303
CRITERIA FOR BIHOLOMORPHIC CONVEX MAPPINGS ON p-BALL IN Cⁿ MING-SHENG LIU	1311
III.7 Geometric Theory of Real and Complex Functions (G. Barsegian)
RADIAL CLUSTER SET OF A BOUNDED HOLOMORPHIC MAP IN THE UNIT BALL OF ℂⁿ TOSHIO MATSUSHIMA	1323
IV.2 Mathematical and Computational Aspects of Kinetic Models (A. Majorana)
IV.2 Mathematical and computational aspects of kinetic models	1327
EFFICIENCY CONSIDERATIONS FOR THE BOLTZMANN-POISSON SYSTEM FOR SEMICONDUCTORS A. DOMAINGO and A. MAJORANA	1329
KINETIC THEORY APPLICATIONS IN EVAPORATION/CONDENSATION FLOWS OF POLYATOMIC GASES A. FREZZOTTI	1339
MATHS AGAINST CANCER F. PAPPALARDO, S. MOTTA, P.-L. LOLLINI and E. MASTRIANI	1351
IV.4 Inverse Problems, Theory and Numerical Methods (M. Klibanov, M. Yamamoto)
LIPSCHITZ STABILITY IN AN INVERSE HYPERBOLIC PROBLEM BY BOUNDARY OBSERVATIONS M. BELLASSOUED and M. YAMAMOTO	1363
NUMERICAL CAUCHY PROBLEMS FOR THE LAPLACE EQUATION T. MATSUURA, S. SAITOH and M. YAMAMOTO	1375
CONDITIONAL STABILITY IN RECONSTRUCTION OF INITIAL TEMPERATURES MASAHIRO YAMAMOTO and JUN ZOU	1385
IV.6 Mathematical Biology and Medicine (R.P. Gilbert, A. Wirgin. Y. Xu)
INVERSE PROBLEM FOR WAVE PROPAGATION IN A PERTURBED LAYERED HALF-SPACE WITH A BUMP R.P. GILBERT, N. ZHANG, N. ZEEV and Y. Xu	1393
A TIME DOMAIN METHOD TO MODEL VISCOELASTIC WAVE PROPAGATION IN LONG CORTICAL BONES J.-P. GROBY, E. OGAM, A. WIRGIN, Z.E.A. FELLAH and C. TSOGKA	1407
EIGENMODE ANALYSIS OF THE CORTICAL OSSEOUS TISSUe-MARROW COUPLED SYSTEM E. OGAM, Z.E.A FELLAH, J.-P GROBY and A. WIRGIN	1419
AN INVERSE PROBLEM FOR THE FREE BOUNDARY MODEL OF DUCTAL CARCINOMA IN SITU Y.S. XU	1429
COMPARING MATHEMATICAL MODELS OF THE HUMAN LIVER BASED ON BSP TEST L. ČELECHOVSKÁ - KOZÁKOVÁ	1439
IMPLEMENTATION OF ADAPTIVE RANDOMIZATIONS FOR CLINICAL TRIALS E.R. MILLER	1449
BACK MATTER	1461

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