A SHOCK LAYER ARISING AS THE SOURCE TERM COLLAPSES IN THE P(X)-LAPLACIAN EQUATION

DOI10.15393/j3.art.2020.8990zbMath1458.35245OpenAlexW3109740896MaRDI QIDQ5151413

S. A. Sazhenkov, Stanislav N. Antontsev, Ivan V. Kuznetsov

Publication date: 17 February 2021

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa305

zbMATH Keywords

nonstandard growthenergy solutionnon-instantaneous impulsevariable nonlinearityshock layer

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (4)

Strong solutions of a semilinear impulsive pseudoparabolic equation with an infinitesimal initial layer ⋮ Weak solutions of impulsive pseudoparabolic equations with an infinitesimal transition layer ⋮ The impulsive heat equation with the Volterra transition layer ⋮ Strong solutions of impulsive pseudoparabolic equations

Cites Work

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• The Kolmogorov-Riesz compactness theorem
• Existence theorems for solutions of parabolic equations with variable order of nonlinearity
• Global higher regularity of solutions to singular \(p(x,t)\)-parabolic equations
• Kinetic formulation for the Graetz-Nusselt ultra-parabolic equation
• Well-posedness of scalar conservation laws with singular sources
• Dirac deltas and discontinuous functions
• Monotone operator theory for unsteady problems in variable exponent spaces
• Evolution PDEs with Nonstandard Growth Conditions
• Non-Instantaneous Impulses in Differential Equations
• Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent

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