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Nonlinear Partial Differential Equations of Second Order

About this Title

Guangchang Dong

Publication: Translations of Mathematical Monographs
Publication Year: 1991; Volume 95
ISBNs: 978-0-8218-4685-8 (print); 978-1-4704-4507-2 (online)
DOI: https://doi.org/10.1090/mmono/095
MathSciNet review: MR1134129
MSC: Primary 35-02; Secondary 35G20, 35K55

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Table of Contents

Front/Back Matter

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Chapters

• Introduction
• Notes for the English Translation
• Chapter I. The first boundary value problem for second-order quasilinear parabolic equations with principal part in divergence form
• Chapter II. A periodic boundary value problem for a nonlinear telegraph equation
• Chapter III. The initial value problem for a nonlinear Schrödinger equation
• Chapter IV. Multi-dimensional subsonic flows around an obstacle
• Chapter V. The initial-boundary value problem for degenerate quasilinear parabolic equations
• Chapter VI. The speed of propagation of the solution of a degenerate quasilinear parabolic equation
• Chapter VII. Aleksandrov and Bony maximum principles for parabolic equations
• Chapter VIII. The density theorem and its applications
• Chapter IX. Fully nonlinear parabolic equations
• Chapter X. Fully nonlinear parabolic equations (continued)

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