7Th International ISAAC Congress Volume of Abstracts
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7th International ISAAC Congress Volume of Abstracts European Mathematical International London Mathematical Society Mathematical Union Society 7th International ISAAC Congress | Abstracts Edited by M. Ruzhansky and J. Wirth. Prepared and typeset using LATEX. Department of Mathematics Imperial College London 180 Queen's Gate London SW7 2AZ Welcoming address The ISAAC board, the Local Organising Committee and the Department of Mathematics at Imperial Col- lege London, are pleased to welcome you to the 7th International ISAAC Congress in London. The 7th International ISAAC congress continues the successful series of meetings previously held in the Delaware (USA) 1997; Fukuoka (Japan) 1999; Berlin (Germany) 2001, Toronto (Canada) 2003, Catania (Italy) 2005 and Ankara (Turkey) 2007. The success of such a series of congresses would not be possible without all the valuable contributions of all the participants. We acknowledge the ﬁnancial support for this congress given by the London Mathematical Society (LMS), the International Mathematical Union (IMU), Commission on Development and Exchanges (CDE), and Developing Countries Strategy Group (DCSG), the Engineering and Physical Sciences Research Council (EPSRC), the Oxford Centre in Collaborational and Applied Mathematics (OCCAM), the Oxford Centre for Nonlinear Partial Diﬀerential Equations (OxPDE), the Bath Institute for Complex Systems (BICS), the Imperial College London, Strategic Fund, and the Department of Mathematics, Imperial College London. ISAAC Board Man Wah Wong (Toronto, Canada), President of the ISAAC Heinrich Begehr (Berlin, Germany) Alain Berlinet (Montpellier, France) Bogdan Bojarski (Warsaw,Poland) Erwin Bruning (Durban, South Africa) Victor Burenkov (Padova, Italy) Okay Celebi (Istanbul, Turkey) Robert Gilbert (Newark, Delaware, USA) Anatoly Kilbas (Minsk, Belarus) Massimo Lanza de Cristoforis (Padova, Italy) Michael Reissig (Freiberg, Germany) Luigi Rodino (Torino, Italy) Michael Ruzhansky (London, UK) John Ryan (Fayetteville, Arkansas, USA) Saburou Saitoh (Aveiro, Portugal) Bert-Wolfgang Schulze (Potsdam, Germany) Joachim Toft (V¨axj¨o,Sweden) Yongzhi Xu (Louisville, Kentucky, USA) Masahiro Yamamoto (Tokyo, Japan) Shangyou Zhang (Newark, Delaware, USA) Local Organising Committee Michael Ruzhansky (Chairman) Dan Crisan Brian Davies Jeroen Lamb Ari Laptev (President of the European Mathematical Society) Jens Wirth Boguslaw Zegarlinski with further support by Laura Cattaneo, Federica Dragoni, Nikki Elliott, James Inglis, Vasileios Kontis and Ioannis Papageorgiou as well as further student helpers. 3 Abstracts Plenary talks 15 Sir John Ball : The Q-tensor theory of liquid crystals ............................... 15 Louis Boutet de Monvel : Asymptotic equivariant index of Toeplitz operators and Atiyah-Weinstein conjecture 15 Brian Davies : Non-self-adjoint spectral theory .................................. 16 Simon Donaldson : Asymptotic analysis and complex diﬀerential geometry ................... 16 Carlos Kenig : The global behavior of solutions to critical nonlinear dispersive and wave equations ...... 16 Vakhtang Kokilashvili : Nonlinear harmonic analysis methods in boundary value problems of analytic and harmonic functions, and PDE ......................................... 17 Nicolas Lerner : Instability of the Cauchy-Kovalevskaya solution for a class of non-linear systems ...... 17 Paul Malliavin : Non-ergodicity of Euler deterministic ﬂuid dynamics via stochastic analysis ......... 18 Vladimir Maz'ya : Higher order elliptic problems in non-smooth domains ................... 18 Bert-Wolfgang Schulze : Operator algebras with symbolic hierarchies on stratiﬁed spaces ........... 18 Gunther Uhlmann : Visibility and Invisibility ................................... 19 Masahiro Yamamoto : Practise of industrial mathematics related with the steel manufacturing process ... 20 Public lecture 21 Pierre-Louis Lions : Analysis, Models and Simulations .............................. 21 Sessions 23 I.1. Complex variables and potential theory 23 Tahir Aliyev Azeroˇglo: Analytic functions in contour-solid problems ...................... 23 Rauno Aulaskari : A non-α-normal function whose derivative has ﬁnite area integral of order less than 2/α 23 Cristina Ballantine : Global mapping properties of rational functions ...................... 23 Bogdan Bojarski : Beltrami equations ....................................... 23 Matteo Dalal Riva : A functional analytic approach for a singularly perturbed non-linear traction problem in linearized elastostatics ........................................... 23 Peter Dovbush : Boundary behavior of Bloch functions and normal functions ................. 23 Anatoly Golberg : Spatial quasiconformal mappings and directional dilatations ................ 24 Dorin Ghisa : Global mapping properties of entire and meromorphic functions ................. 24 Daniyal Israﬁlov : Approximation in Morrey-Smirnov classes .......................... 24 Dmitri Karp : Two-sided bounds for the logarithmic capacity of multiple intervals ............... 24 Olena Karupu : On boundary smoothness of conformal mapping ........................ 24 Boris Kats : Structures of non-rectiﬁable curves and solvability of the jump problem ............. 25 Gabriela Kohr : The Loewner diﬀerential equations and univalent subordination chains in several complex variables ..................................................... 25 Mirela Kohr : Boundary integral equations in the study of some porous media ﬂow problems ......... 25 Massimo Lanza de Cristoforis : Singular perturbation problems in potential theory: a functional analytic approach ..................................................... 25 Jamal Mamedkhanov : Classic theorems of approximation in a complex plane by rational functions .... 25 Sergiy Plaksa : Commutative algebras of monogenic functions and biharmonic potentials ........... 26 Osamu Suzuki : Fractal method for Cliﬀord algebra and complex analysis .................... 26 Yunus Emre Yildirir : Approximation theorems in weighted Lorenz spaces ................... 26 El Hassan Youssﬁ : Hankel operator on generalized fock spaces ......................... 26 Yuriy Zelinskiy : Continues mappings between domains of manifolds ...................... 26 I.2. Diﬀerential equations: Complex and functional analytic methods, applications 26 Umit Aksoy : A hierarchy of polyharmonic kernel functions and the related integral operators ........ 27 Heinrich Begehr : Boundary value problems for complex partial diﬀerential equations ............. 27 Peter Berglez : On some classes of bicomplex pseudoanalytic functions ..................... 27 Carmen Bolosteanu : Boundary value problems on Klein surfaces ........................ 27 Ilya Boykov : Optimal methods for evaluation hypersingular integrals and solution of hypersingular integral equations .................................................... 27 Okay Celebi : Complex partial diﬀerential equations with mixed-type boundary conditions ........... 28 Natalia Chinchaladze : On a mathematical model of a cusped plate with big deﬂections ............ 28 5 Jin-Yuan Du : Mixed boundary value problem with a shift for some pair of metaanalytic function and analytic function ..................................................... 28 Grigory Giorgadze : Generalized analytic functions on Riemann surfaces .................... 28 Sonnhard Graubner : Optimization of ﬁxed point methods ............................ 28 Azhar Hussain : Generating functions of the Laguerre-Bernoulli polynomials involving bilateral series and applications ................................................... 28 Alexander Kheyﬁts : Asymptotic behavior of subparabolic functions ...................... 29 Giorgi Khimshiashvili : Elliptic Riemann-Hilbert problems for generalized Cauchy-Riemann systems .... 29 Nino Manjavidze : On some qualitative issues of the elliptic systems ...................... 29 Alip Mohammed : Poisson equation with the Robin boundary condition ..................... 29 Nusrat Rajabov : Investigation of one class of two-dimensional conjugating model and non model integral equation with ﬁxed super-singular kernels in connection with hyperbolic equation ............. 29 Lutfya Rajabova : About one class of two-dimensional Volterra type integral equation with two interior sinqular lines .................................................. 30 Roman Saks : Explicit global solutions of 3D rotating Navier-Stokes equations ................ 30 Emma Samoylova : Methods of solutions of an singular integrodiﬀerential equation .............. 30 Tynysbek Sharipovich Kal'menov : A boundary condition of the volume potential ............... 30 Durbudkhan Suragan : Eigenvalues and eigenfunctions of volume potential .................. 30 Zhaxylyk Tasmambetov : The ending solutions of Ince system with irregular features ............ 31 Ismail Taqi : Fractional integrals and hypersingular integrals in variable order Holder spaces on homogeneous spaces ...................................................... 31 Yufeng Wang : On mixed boundary-value problems of polyanalytic functions .................. 31 Oleg N. Zhdanov : An algorithm of solving the Cauchy problem and mixed problem for the two-dimensional system of quasi-linear hyperbolic partial diﬀerential equations ....................... 32 Shouguo Zhong : On solution of a kind of Riemann boundary value problem on the real axis with square roots 32 Zhongxiang Zhang : Some Riemann boundary value problems in Cliﬀord analysis