Nonlinear Diffusion Equations and Their Equilibrium States, 3 Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales

Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math­ ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter­ est are b...

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Bibliographic Details
Other Authors: Lloyd, N.G. (Editor), Ni, M.G. (Editor), Peletier, L.A. (Editor), Serrin, J. (Editor)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 1992, 1992
Edition:1st ed. 1992
Series:Progress in Nonlinear Differential Equations and Their Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Blow up in Rn for a Parabolic Equation with a Damping Nonlinear Gradient Term
  • Shrinking Doughnuts
  • Higher Approximations to Eigenvalues for a Nonlinear Elliptic Problem
  • Positive Solutions of Emden Equations in Cone-Like Domains
  • Nonlinear Parabolic Equations Arising in Semiconductor and Viscous Droplets Models
  • A Parabolic Equation with a Mean-Curvature Type Operator
  • Heat Flows and Relaxed Energies for Harmonic Maps
  • Local Existence and Uniqueness of Positive Solutions of the Equation ?u + (1 + ??(r))u(n+2)/(n-2) = 0, in Rn and a Related Equation
  • Singularities of Solutions of a Class of Quasilinear Equations in Divergence Form
  • An Existence Result Via Ls-Regularity for Some Nonlinear Elliptic Equations
  • Identifying a Time-Dependent Unknown Coefficient in a Nonlinear Heat Equation
  • On the Structure of Solutions for Some Semilinear Elliptic Equations
  • A Note on Boundary Regularity for Certain Degenerate Parabolic Equations
  • The Quenching Problem on the N -dimensional Ball
  • Global Solutions for a Class of Monge-Ampère Equations
  • The Structure of Solutions near an Extinction Point in a Semilinear Heat Equation with Strong Absorption: A Formal Approach
  • On a Conjecture by Hagan and Brenner
  • A Nonlinear Diffusion-Absorption Equation with Unbounded Initial Data
  • A Free Boundary Problem Arising in Plasma Physics
  • Remarks on Quenching, Blow Up and Dead Cores
  • Bifurcation at Boundary Points of the Continuous Spectrum
  • A Comparison Result and Elliptic Equations Involving Subcritical Exponents
  • Advances in Quenching
  • On Some Almost Everywhere Symmetry Theorems
  • Symmetry Properties of Finite Total Mass Solutions of Matukuma Equation
  • An Exact Reduction of Maxwell’ s Equations
  • A General I-Theorem for Semilinear Elliptic Equations
  • OnSupercritical Phenomena
  • On the Existence and Shape of Solutions to a Semilinear Neumann Problem
  • Global Asymptotic Stability for Strongly Nonlinear Second Order Systems
  • The Existence and Asymptotic Behaviour of Similarity Solutions to a Quasilinear Parabolic Equation
  • Maximal Solutions of Singular Diffusion Equations with General Initial Data
  • The Evolution of Harmonic Maps: Existence, Partial Regularity, and Singularities
  • Two Dimensional Emden-Fowler Equation with Exponential Nonlinearity
  • Global Bifurcation of Positive Solutions in Rn
  • Conformai Asymptotics of the Isothermal Gas Spheres Equation
  • Chemical Interfacial Reaction Models with Radial Symmetry