Partial Differential Equations of Parabolic Type

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.

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

1. Fundamental solutions and the Cauchy problem2. The maximum principal and some applications3. The first initial-boundary value problem4. Derivation of a priori estimates5. The second initial-boundary value problem6. Asymptotic behavior of solutions7. Semi-linear equations. Nonlinear boundary conditions8. Free boundary problems9. Fundamental solutions for parabolic systems10. Boundary value problems for elliptic and parabolic equations of any orderAppendix: Nonlinear equationsAppendix bibliographyBibliographical remarksBibliographyIndex