Avner Friedman

Partial Differential Equations of Parabolic Type (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This accessible and self-contained treatment provides even readers previously unacquainted with parabolic and elliptic equations with sufficient background to understand research literature. Author Avner Friedman Director of the Mathematical Biosciences Institute at The Ohio State University offers a systematic and thorough approach that begins with the main facts of the general theory of second order linear parabolic equations.
Subsequent chapters explore asymptotic behavior of solutions, semi-linear equations and free boundary problems, and the extension of results concerning fundamental solutions and the Cauchy problem to systems of parabolic equations. The final chapter concerns questions of existence and uniqueness for the first boundary value problem and the differentiability of solutions, in terms of both elliptic and parabolic equations. The text concludes with an appendix on nonlinear equations and bibliographies of related works.

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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 368
• Erscheinungstermin: 19. Juli 2013
• Englisch
• ISBN-13: 9780486318264
• Artikelnr.: 39538933

Autorenporträt

Avner Friedman is Director of the Mathematical Biosciences Institute at Ohio State University.

Inhaltsangabe

1. Fundamental solutions and the Cauchy problem 2. The maximum principal
and some applications 3. The first initial-boundary value problem 4.
Derivation of a priori estimates 5. The second initial-boundary value
problem 6. Asymptotic behavior of solutions 7. Semi-linear equations.
Nonlinear boundary conditions 8. Free boundary problems 9. Fundamental
solutions for parabolic systems 10. Boundary value problems for elliptic
and parabolic equations of any order Appendix: Nonlinear equations Appendix
bibliography Bibliographical remarks Bibliography Index

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