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Differential Equations on Manifolds and Mathematical Physics: Dedicated to the Memory of Boris Sternin (in English)
Vladimir M. Manuilov
(Illustrated by)
·
Alexander S. Mishchenko
(Illustrated by)
·
Vladimir E. Nazaikinskii
(Illustrated by)
·
Birkhauser
· Paperback
Differential Equations on Manifolds and Mathematical Physics: Dedicated to the Memory of Boris Sternin (in English) - Manuilov, Vladimir M. ; Mishchenko, Alexander S. ; Nazaikinskii, Vladimir E.
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Synopsis "Differential Equations on Manifolds and Mathematical Physics: Dedicated to the Memory of Boris Sternin (in English)"
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.
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The book is written in English.
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