The nonlinear heat equation with absorption: Effects of variable coefficients

DOI10.1016/0022-247X(92)90036-DzbMath0799.35131MaRDI QIDQ1206937

Robert Kersner, Francesco Nicolosi

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

uniquenessHölder regularityextinction in finite timeinstantaneous shrinking of the support

Mathematics Subject Classification ID

Related Items (12)

Instantaneous shrinking and single point extinction for viscous Hamilton-Jacobi equations with fast diffusion ⋮ A necessary condition for the instantaneous shrinking property of solutions to a semilinear heat equation ⋮ Extinction of solutions of higher order parabolic equations with double nonlinearity and degenerate absorption potential ⋮ Qualitative properties for solutions of semilinear heat equations with strong absorption ⋮ Extinction of solutions of semilinear higher order parabolic equations with degenerate absorption potential ⋮ Instantaneous shrinking of the solution to a nonlinear degenerate equation with variable coefficient and convection ⋮ Decay of the solutions of parabolic equations with double nonlinearity and the degenerate absorption potential ⋮ Singular reaction diffusion equations of porous medium type ⋮ On some nonlinear problems in mathematical physics with exponents close to critical ones ⋮ Instantaneous shrinking of the support of solutions to parabolic equations with a singular absorption ⋮ Compactification of supports of energy weak solutions to quasilinear parabolic equations of nonstationary filtration type with strong convection ⋮ Disappearance of interfaces in finite time

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Thermal waves in an absorbing and convecting medium
• Instantaneous compactification of supports of solutions to semilinear parabolic equations and systems thereof
• Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities
• On the differential properties of generalized solutions of equations of the nonsteady-state filtration type
• Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications
• Regularity properties of flows through porous media: The interface
• THE RANDOM-WALK MODEL WITH AUTOCORRELATION OF FLOW THROUGH POROUS MEDIA
• ON THE DEPENDENCE OF PROPERTIES OF SOLUTIONS OF PARABOLIC EQUATIONS IN UNBOUNDED DOMAINS ON THE BEHAVIOR OF THE COEFFICIENTS AT INFINITY
• The One-Dimensional Nonlinear Heat Equation with Absorption: Regularity of Solutions and Interfaces
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• Hölder Continuity of Solutions of Parabolic Equations
• Regularizing effect for a nonlinear diffusion with irregular source-term
• A class of degenerate diffusion equations with a singular nonlinear term
• Regularity Propeties of Flows Through Porous Media
• Linear second-order partial differential equations of the parabolic type

This page was built for publication: The nonlinear heat equation with absorption: Effects of variable coefficients