Samuil D. Eidelman Stepan D. Ivasyshen Anatoly N. Kochubei Eidelman Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type

Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type

von Samuil D. Eidelman Stepan D. Ivasyshen Anatoly N. Kochubei

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Beschreibung

The theory of parabolic equations, a well-developed part of the contemporary theory of partial differential equations and mathematical physics, is the subject of immense research activity. A stable interest to parabolic equations is caused both by the depth and complexity of mathematical problems emerging here, and by its importance in applied problems of natural science, technology, and economics.
This book aims at a consistent and, as far as possible, complete exposition of analytic methods of constructing, investigating, and using fundamental solutions of the Cauchy problem for the four important classes of linear parabolic equations.
It will be useful both for mathematicians interested in new classes of partial differential equations, and physicists specializing in diffusion processes.


First book devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degenerate equations of the Kolmogorov type, pseudo-differential parabolic equations, and fractional diffusion equations Many of these equations are important both for other branches of mathematics, and for applications in physics

Autor*in

Samuil D. Eidelman

Themen in »Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type«

Cauchy problem Parabolic equations Pseudo-differential equations complexity differential equation diffusion mathematical physics partial differential equation solution partial differential equations

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Details

ISBN: 9783764371159
Verlag: Springer Basel
Erscheinung: 27.09.2004

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