INDAM Analysis, PDEs and Applications on the occasion of the 70th birthday of Vladimir Maz'ya P R O G R A M. Monday, June 30, 2008

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INDAM Analysis, PDEs and Applications on the occasion of the 70th birthday of Vladimir Maz'ya P R O G R A M Monday, June 30, 2008 8.30-9.30 Registration Joint Session, Aula III, Chairman: SBORDONE 9.30-10.15 Opening Ceremony 10.15-11.00 SERRIN, Entire solutions of quasilinear elliptic equations 11.00-11.30 Coffee Break 11.30-12.15 BREZIS, New estimates for circulation integrals and more general integrals of differential forms 12.15-13.00 KISELMAN, Frozen history decoded: reconstructing the climate of the past Joint Session, Aula III, Chairman: BREZIS 15.00-15.45 ROSSMANN, Mixed boundary value problems for Stokes and Navier-Stokes systems in a polyhedral domain 15.45-16.30 SAFAROV, Estimates for the counting function of the Laplacian on with rough boundaries 16.30-16.45 Coffee Break Section 1, Aula III, Chairman: AGRANOVICH 16.45-17.15 SHAPOSHNIKOVA, Higher regularity in the classical layer potential theory for Lipschitz 17.20-17.50 KRESIN, Some sharp estimates for harmonic fields 17.55-18.25 PINCHOVER, On positive solutions and Liouville comparison principle for p- Laplacian-type equations 18.30-19.00 KARLOVICH, Pseudodifferential operators with non-regular symbols on weighted Lebesgue spaces and their applications Section 2, Aula I, Chairman: VAINBERG 16.45-17.05 BALOGH, Navier-Stokes equations with feedback control over subdomain 17.10-17.30 CHEMETOV, Shallow water model for lakes with friction and penetration 17.35-17.55 M. KOHR, Boundary integral method for a Stokes flow past porous bodies

18.00-18.20 VELIEV, On the inverse problem for the multidimensional Schrödinger operator with a periodic potential 18.25-18.45 CHKAUDA, Mixed boundary value dynamic problems of piezoelectricity in with cracks and cuspidal edges 18.50-19.10 VIEIRA, Regularized function theory for the non-stationary Schrödinger quation Section 3, Aula II, Chairman: NATROSHVILI 16.45-17.05 AVALISHVILI, On two-dimensional hierarchical models for thermoelastic prismatic shells 17.10-17.30 CHINCHALADZE, Interaction problem for thin media consisting of deformable solid and fluid parts in zero approximation of hierarchical models 17.35-17.55 MESLOUB, On a nonlinear mixed problem for a coupled system of thermoelasticiy 18.00-18.20 DALLA RIVA, A functional analytic approach for a singularly perturbed nonlinear traction problem in linearized elastostatics 18.50-19.10 RAGOUB, Duality method for a free boundary problem in electrostatics Tuesday, July 1, 2008 Joint Session, Aula III, Chairman: MOSCO 9.00-9.45 VAINBERG, Propagation of waves in networks of thin fibers and slowing down of the light 9.45-10.30 MOVCHAN, Meso-scale approximations and asymptotic treatment of perforated without homogenization 10.30-11.15 BURAGO, Bi-Lipschitz mappings of two-dimensional surfaces Joint Session, Aula III, Chairman: KISELMAN 11.30-12.15 SHNIRELMAN, On the control of fluid flows by small forces 12.15-13.00 MOSCO, Sobolev inequalities and fluctuating geometry 15.00-15.45 VASSILIEV, Dirac equation as a special case of Cosserat elasticity Section 1, Aula III, Chairman: FUSCO 15.50-16.20 MAYBORODA, Regularity properties of solutions to higher order elliptic equations in non-smooth 16.25-16.55 VIVALDI, Irregular conductive layers 17.00-17.15 Coffee Break 17.15-17.45 D. MITREA, On the regularity of Green functions in nonsmooth 17.50-18.20 MAZZUCATO, On transmission problems in generalized polygonal : theory and FEM approximation

Section 2, Aula I, Chairman: CIANCHI 15.50-16.10 JAIANI, Systems of linear partial differential equations in cuspidal prismatic 16.15-16.35 MIKHAILOV, About PDE extensions and co-normal derivative operators on Lipschitz 16.40-17.00 NIEVES, Uniform asymptotic approximations for Green's kernels of plane elasticity for with small inclusions 17.20-17.40 SHESTAKOV, Asymptotic behaviour of solutions to elliptic equations on manifolds with cuspidal points 17.45-18.05 PELÁEZ, Embedding theorems for spaces of analytic functions Section 3, Aula II, Chairman: SPECK 15.50-16.10 MARICONDA, Hölder regularity for a classical problem of the calculus of variations 16.15-16.35 ZOGRAPHOPOULOS, Elliptic problems involving weights of Hardy- Rellich type 16.40-17.00 KALVIN, Complex scaling of elliptic boundary value problems in an infinite cylinder 17.20-17.40 BIANCHINI, Convexity principle for elliptic equations 17.45-18.05 ALBERICO, Comparison estimates in anisotropic variational problems 20.00 Social Dinner Wednesday, July 2, 2008 Joint Session, Aula III, Chairman: GRIGORYAN 9.00-9.45 BURENKOV, Sharp spectral stability estimates for uniformly elliptic differential operators 9.45-10.30 URAL'TSEVA, Regularity for a class of free boundary problems 10.30-11.15 AGRANOVICH, Spectral problems for strongly elliptic systems in bounded Lipschitz JOINT SESSION, AULA III, Chairman: SHNIRELMAN 11.30-12.15 FUSCO, The sharp Sobolev inequality in quantitative form 12.15-13.00 M. MITREA, Optimal well-posedness result for the Stokes system in arbitrary Lipschitz JOINT SESSION, AULA III, Chairman: VERBITSKY 15.00-15.45 VOLBERG, Singular capacities and non-linear capacities 15.45-16.30 SBORDONE, Sobolev homeomorphisms and degenerate elliptic equations 16.30-16.45 Coffee Break

Section 1, Aula III, Chairman: VASSILIEV 16.45-17.15 NATROSHVILI, Stress singularity analysis in mathematical problems for piezoelectricmetallic composites 17.20-17.50 TERTIKAS, On Hardy-Sobolev-Maz'ya type of inequalities 17.55-18.25 MCOWEN, The fundamental solution of an elliptic equation in nondivergent form 18.30-19.00 CIALDEA, Criteria for the $L^p$-dissipativity of partial differential operators Section 2, Aula I, Chairman: BURENKOV 16.45-17.05 BORSUK, The transmission problem for quasi-linear elliptic second order equations in a conical domain 17.10-17.30 CARILLO, An operator approach to evolution equations 17.35-17.55 CHERDANTSEV, Spectral convergence for high contrast media with a defect via homogenization 18.00-18.20 LANCIA, Heat propagation across fractal layers 18.25-18.45 APREUTESEI, Optimal control of Lotka-Volterra systems with different cost functionals 18.50-19.10 ALEKSENKO, High frequency limit of the transport cross section and boundedness of the total cross section in scattering by an obstacle with impedance boundary conditions Section 3, Aula II, Chairman: D. MITREA 16.45-17.05 LASSER, Banach spaces of Lipschitz functions induced by Jacobi-translations 17.10-17.30 ALMEIDA, Maximal and potential operators in Morrey spaces with variable exponents 17.35-17.55 TAO, Phase derivatives of Nevanlinna functions with applications 18.00-18.20 HENCL, Homeomorphisms of bounded variation and homeomorphisms in the Sobolev space 18.25-18.45 RAFEIRO, Inversion of the Riesz and Bessel potential operators in weighted variable Lebesgue spaces Section 4, Aula INDAM, Chairman: NETUKA 16.45-17.05 N. SAMKO, Weighted estimates of the Cauchy singular integral operator in Morrey spaces 17.10-17.30 FEDOROVSKIY, Approximation by polynomial solutions of elliptic equations 17.35-17.55 TER ELST, Diffusion determines the manifold 18.00-18.20 G. KOHR, New results in the theory of differential subordination chains in several complex variables. Applications 18.25-18.45 BOLOSTEANU, Integrals of the Cauchy type on nonorientable Riemann surfaces 18.50-19.10 MANGOUBI, Asymptotic geometry of nodal Thursday, July 3, 2008 Joint Session, Aula III, Chairman: URAL'TSEVA 9.00-9.45 KAHANE, PDE, functions and trigonometric series around 1800. The case of Lagrange and Fourier

9.45-10.30 CAPUZZO DOLCETTA, Hölder and gradient estimates for viscosity solutions of some nonlinear pde's 10.30-11.15 GRIGORYAN, Heat kernels for some Schrödinger operators Joint Session, Aula III, Chairman: SAFAROV 11.30-12.15 VERBITSKY, Weighted norm inequalities with positive and indefinite weights 12.15-13.00 SCHMIDT, Approximation of pseudodifferential and integral operators 15.00-15.45 NETRUSOV, Estimates for entropy numbers of some Sobolev embeddings Section 1, Aula III, Chairman: M. MITREA 15.50-16.20 S. SAMKO, On classical operators of harmonic analysis in variable exponent spaces 16.25-16.55 NETUKA, Convexity and density properties of harmonic measures in parabolic potential theory 17.00-17.15 Coffee Break 17.15-17.45 SPECK, Boundary value problems for the Helmholtz equation in an octant 17.50-18.20 CIANCHI, Elliptic Neumann problems involving irregular data and Section 2, Aula I, Chairman: TERTIKAS 15.50-16.10 KALAMAJSKA, Gagliardo-Nirenberg inequalities in Orlicz spaces 16.15-16.35 KIM, Hypercyclic and chaotic generalized convolution operators on the space of entire functions 16.40-17.00 SATCO, Solutions for differential inclusions under Henstock integrability hypothesis 17.20-17.40 WALDEMAR, An existence result for a differential inclusion under the determinant constraint 17.45-18.05 SEILER, Bounded H -calculus for pseudodifferential Douglis-Nirenberg systems Section 3, Aula II, Chairman: CIALDEA 15.50-16.10 KRYSZEWSKI, Constrained topological degree and fully nonlinear elliptic boundary value problems 16.15-16.35 RICCIARDI, On the Hölder continuity of solutions of two dimensional elliptic equations 16.40-17.00 HUI, Large time behaviour of solutions of a degenerate fourth order parabolic equation 17.20-17.40 NUORTIO, Regularity theory for parabolic variable exponent PDE 17.45-18.05 GERASIMOV, The regularity for a clamped grid equation in a domain with a corner