AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Applications of Nonlinear Partial Differential Equations in Mathematical Physics
About this Title
R. Finn, Editor
Publication: Proceedings of Symposia in Applied Mathematics
Publication Year:
1965; Volume 17
ISBNs: 978-0-8218-1317-1 (print); 978-0-8218-9232-9 (online)
DOI: https://doi.org/10.1090/psapm/017
Table of Contents
Download chapters as PDF
Front/Back Matter
General nonlinear theory
- Avner Friedman – Remarks on nonlinear parabolic equations [MR 0186938]
- Felix E. Browder – Existence and uniqueness theorems for solutions of nonlinear boundary value problems [MR 0197933]
- Tosio Kato – Nonlinear evolution equations in Banach spaces [MR 0184099]
- James Serrin – Singularities of solutions of nonlinear equations [MR 0186903]
- J. L. Lions and W. A. Strauss – Some nonlinear evolution equations
- R. C. MacCamy and V. J. Mizel – Results for a quasi-linear hyperbolic equation
Finite elasticity, compressible fluids
- Walter Noll – The equations of finite elasticity [MR 0181152]
- Fritz John – A priori estimates applied to nonlinear shell theory [MR 0187494]
- P. R. Garabedian – Asymptotic description of a free boundary at the point of separation [MR 0182231]
Viscous fluids, magnetohydrodynamics
- Robert Finn – Stationary solutions of the Navier-Stokes equations
- Harold Grad – Asymptotic equivalence of the Navier-Stokes and nonlinear Boltzmann equations [MR 0184507]
- J. E. Edwards – On the existence of solutions of the steady-state Navier-Stokes equations for a class of nonsmooth boundary data
- P. C. Fife – Toward the validity of the Prandtl approximations in a boundary layer
- B. D. Coleman, R. J. Duffin and V. J. Mizel – Instability and uniqueness results for a third order PDE on a strip
General relativity, quantum field theory
- A. Lichnerowicz – Existence and uniqueness theorems in general relativity [MR 0183500]
- R. P. Kerr and A. Schild – Some algebraically degenerate solutions of Einstein’s gravitational field equations [MR 0216846]
- I. E. Segal – Nonlinear partial differential equations in quantum field theory [MR 0202406]