Compactification of supports of energy weak solutions to quasilinear parabolic equations of nonstationary filtration type with strong convection

DOI10.1007/BF02366141zbMath0972.35007MaRDI QIDQ1585408

Andrey E. Shishkov

Publication date: 13 November 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

localization propertiesnon-Newtonian, nonlinear, non-stationary filtration with strong convection

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

On the phenomenon of the support shrinking of a solution with a time delay and on the extinction of the solution

Cites Work

• Instantaneous compactification of supports of solutions to semilinear parabolic equations and systems thereof
• The nonlinear heat equation with absorption: Effects of variable coefficients
• Estimates on the support of solutions of parabolic variational inequalities
• Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities
• The support shrinking properties for solutions of quasilinear parabolic equations with strong absorption terms
• Instantaneous shrinking of the support of energy solutions
• Estimates of rate of propagation of perturbations in quasilinear divergent degenerate parabolic equations of high order
• Instantaneous Shrinking in Nonlinear Diffusion-Convection
• Local Vanishing Properties of Solutions of Elliptic and Parabolic Quasilinear Equations
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