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Partial Differential Equations of Parabolic Type
by Avner Friedman

ISBN: 0486466256
Dover Publications Price: $19.95
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With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature. Systematic and thorough, it advances from the main facts of the general theory to questions of existence and uniqueness for the first boundary value problem and the differentiability of solutions. 1964 edition.
Reprint of the R. E. Krieger Publishing Company, Malabar, Florida, 1983 edition.

Table of Contents for Partial Differential Equations of Parabolic Type
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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