Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type, 2004
Operator Theory: Advances and Applications Series, Vol. 152

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Language: Anglais

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Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type
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390 p. · 15.5x23.5 cm · Paperback

Analytic methods in the theory of differential and pseudo-differential equations of parabolic type operator theory: advances and applications vol
Publication date:
386 p. · 15.5x23.5 cm · Hardback

This book is 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. It will appeal to mathematicians interested in new classes of partial differential equations, and physicists specializing in diffusion processes.

Preface.- 1. Equations. Problems. Methods. Results. Examples.- 2. Parabolic Equations of a Quasi-Homogeneous Structure.- 3. Degenerate Equations of the Kolomogorov Type.- 4. Pseudo-Differential Parabolic Equations with Quasi-Homogeneous Symbols.- 5. Fractional Diffusion Equations.- Appendix. Fox's H-Functions.- Bibliography.- Notation.- Index

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