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Nonlinear diffusion equations and their equilibrium states : proceedings of a microprogram held August 25-September 12, 1986

Author: W -M Ni; L A Peletier; J Serrin
Publisher: New York : Springer-Verlag, ©1988.
Series: Mathematical Sciences Research Institute publications, 12-13.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

In recent years considerable interest has been focused on nonlinear diffu- sion problems, the archetypical equation for these being Ut = D.u + f(u).

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Genre/Form: Conference papers and proceedings
Congresses
Congrès
Additional Physical Format: Online version:
Nonlinear diffusion equations and their equilibrium states.
New York : Springer-Verlag, ©1988
(OCoLC)624469738
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: W -M Ni; L A Peletier; J Serrin
ISBN: 0387967710 9780387967714 0387967729 9780387967721
OCLC Number: 17919114
Description: 2 volumes : illustrations ; 25 cm.
Contents: Table of Contents - Volume l.- On the Initial Growth of the Interfaces in Nonlinear Diffusion-Convection Processes.- Large Time Asymptotics for the Porous Media Equation.- Regularity of Flows in Porous Media: A Survey.- Ground States for the Prescribed Mean Curvature Equation: The Supercritical Case.- Geometric Concepts and Methods in Nonlinear Elliptic Euler-Lagrange Equations.- Nonlinear Parabolic Equations with Sinks and Sources.- Source-type Solutions of Fourth Order Degenerate Parabolic Equations.- Nonuniqueness and Irregularity Results for a Nonlinear Degenerate Parabolic Equation.- Existence and Meyers Estimates for Solutions of a Nonlinear Parabolic Variational Inequality.- Convergence to Traveling Waves for Systems of kolmogorov-like parabolic equations.- Symmetry Breaking in Semilinear Elliptic Equations with Critical Exponents.- Remarks on Saddle Points in the Calculus of Variations.- On the Elliptic Problem ?u - |?u|q + ?up = 0.- Nonlinear Elliptic Boundary Value Problems: Lyusternik-Schnirelman Theory, Nodal Properties and Morse Index.- Harnack-type Inequalities for some Degenerate Parabolic Equations.- The Inverse Power Method for Semilinear Elliptic Equations.- Radial Symmetry of the Ground States for a Class of Quasilinear Elliptic Equations.- Existence and Uniqueness of Ground State Solutions of Quasilinear Elliptic Equations.- Blow-up of Solutions of Nonlinear Parabolic Equations.- Solutions of Diffusion Equations in Channel Domains.- A Strong Form of the Mountain Pass Theorem and Application.- Asymptotic Behaviour of Solutions of the Porous Media Equation with Absorption.
Series Title: Mathematical Sciences Research Institute publications, 12-13.
Responsibility: W.-M. Ni, L.A. Peletier, J. Serrin, editors.

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