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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1 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, Registration Joint Session, Aula III, Chairman: SBORDONE Opening Ceremony SERRIN, Entire solutions of quasilinear elliptic equations Coffee Break BREZIS, New estimates for circulation integrals and more general integrals of differential forms KISELMAN, Frozen history decoded: reconstructing the climate of the past Joint Session, Aula III, Chairman: BREZIS ROSSMANN, Mixed boundary value problems for Stokes and Navier-Stokes systems in a polyhedral domain SAFAROV, Estimates for the counting function of the Laplacian on with rough boundaries Coffee Break Section 1, Aula III, Chairman: AGRANOVICH SHAPOSHNIKOVA, Higher regularity in the classical layer potential theory for Lipschitz KRESIN, Some sharp estimates for harmonic fields PINCHOVER, On positive solutions and Liouville comparison principle for p- Laplacian-type equations KARLOVICH, Pseudodifferential operators with non-regular symbols on weighted Lebesgue spaces and their applications Section 2, Aula I, Chairman: VAINBERG BALOGH, Navier-Stokes equations with feedback control over subdomain CHEMETOV, Shallow water model for lakes with friction and penetration M. KOHR, Boundary integral method for a Stokes flow past porous bodies

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

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

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

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