Differential Equations on Manifolds and Mathematical Physics : Dedicated to the Memory of Boris Sternin / edited by Vladimir M. Manuilov, Alexander S. Mishchenko, Vladimir E. Nazaikinskii, Bert-Wolfgang Schulze, Weiping Zhang.

Format:

Book

Contributor:

Manuilov, Vladimir M., editor.

Series:

Trends in Mathematics, 2297-024X

Language:

English

Subjects (All):

Mathematical analysis.

Geometry, Differential.

Analysis.

Differential Geometry.

Local Subjects:

Analysis.

Differential Geometry.

Physical Description:

1 online resource (349 pages)

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2021.

Summary:

This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis. The volume contains selected contributions by leading experts in these fields and presents the current state of the art in several areas of PDE. It will be of interest to researchers and graduate students specializing in partial differential equations, mathematical physics, topology, geometry, and their applications. The readers will benefit from the interplay between these various areas of mathematics.

Contents:

Parametrix and localized solutions for linearized equations of gas dynamics

Laplacians on generalized smooth distributions as C*-algebra multipliers

C*-algebras generated by dynamical systems, and applications to nonlocal PDO

The equivariant Atiyah-Patodi-Singer theorem

Representations of Maslov's canonical operator in a neighborhood of caustics

Resurgent analysis of singularly perturbed differential systems

Dual linear programming problem and one-dimensional Gromov minimal fillings

Complete semiclassical spectral asymptotics for periodic and almost periodic perturbations of constant operators

Analytic properties of the Hörmander solution of the wave equation

Derivations of group algebras and Hohschild cohomology

Mellin operators in weighted corner Sobolev spaces

Quantum Hall effect and noncommutative geometry

Flat vector bundles and open coverings

A class of Fredholm boundary value problems for the wave equation with conditions on the entire boundary

Motion of mechanical systems across the singular points

Large-time decay of solutions to the Kawahara equation

Applications of the Maslov index to phase reconstruction problems

The complex homotopy principle of Grauert and Gromov for algebras of pseudo differential operators

On the Fredholm solvability of operators associated with Morse-Smale diffeomorphisms

Geometrical model of the one-dimensional double pendulum phase space

Solutions for a nonlinear elliptic problem involving a variable exponent and measure data in unbounded domains

Periodic internal layers in reaction-diffusion-advection equations with modular type advection

Model of protosphera

Pseudo-differential operators, equations, and elliptic boundary value problems.

ISBN:

3-030-37326-6

OCLC:

1298444886