Analytic, Algebraic and Geometric Aspects of Differential Equations
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portes grátis
Analytic, Algebraic and Geometric Aspects of Differential Equations
Bedlewo, Poland, September 2015
Haraoka, Yoshishige; Michalik, Slawomir; Filipuk, Galina
Birkhauser Verlag AG
08/2018
471
Mole
Inglês
9783319849997
15 a 20 dias
730
Descrição não disponível.
Preface.- An introduction to Dunkl theory and its analytic aspects.- Holonomic Systems.- Sub-Riemannian geometry and hypoelliptic operators.- Asymptotic analysis and summability of formal power series.- WKB analysis and Stokes geometry of differential equations.- Transcendental Meromorphic Solutions of P34and Small Targets.- Towards the convergence of generalized power series solutions of algebraic ODEs.- Connection problem for regular holonomic systems in several variables.- On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients.- On Stokes phenomena for the alternate discrete PI equation.- Flat structures and algebraic solutions toPainleve VI equation.- Relation of Semi-classical orthogonal polynomials to General Schlesinger systems via Twistor theory.- Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations.- Reducibility of hypergeometric equations.- Parametric Borel summability of partial differential equations of irregular singular type.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
WKB analysis and Stokes geometry of differential equations;Dunkl theory, special functions;sub-Riemannian geometry and sub-elliptic operators;holonomic systems;ODEs in the complex plane;holomorphic vector fields, normal forms;summability of formal solutions of difference equations;integrable systems with applications to mathematical physics;formal solutions of PDEs;Gevrey estimates;asymptotic expansions;ordinary differential equations;partial differential equations
Preface.- An introduction to Dunkl theory and its analytic aspects.- Holonomic Systems.- Sub-Riemannian geometry and hypoelliptic operators.- Asymptotic analysis and summability of formal power series.- WKB analysis and Stokes geometry of differential equations.- Transcendental Meromorphic Solutions of P34and Small Targets.- Towards the convergence of generalized power series solutions of algebraic ODEs.- Connection problem for regular holonomic systems in several variables.- On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients.- On Stokes phenomena for the alternate discrete PI equation.- Flat structures and algebraic solutions toPainleve VI equation.- Relation of Semi-classical orthogonal polynomials to General Schlesinger systems via Twistor theory.- Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations.- Reducibility of hypergeometric equations.- Parametric Borel summability of partial differential equations of irregular singular type.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
WKB analysis and Stokes geometry of differential equations;Dunkl theory, special functions;sub-Riemannian geometry and sub-elliptic operators;holonomic systems;ODEs in the complex plane;holomorphic vector fields, normal forms;summability of formal solutions of difference equations;integrable systems with applications to mathematical physics;formal solutions of PDEs;Gevrey estimates;asymptotic expansions;ordinary differential equations;partial differential equations
