Sobolev regularization of a nonlinear ill-posed parabolic problem as a model for aggregating populations

DOI10.1080/03605309808821353zbMath0910.35138OpenAlexW1972800766MaRDI QIDQ4393222

Victor Padron

Publication date: 15 April 1999

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309808821353

zbMATH Keywords

existence of discontinuous solutionsSobolev regularizationaggregating population modelRosenau's quasi-continuous approximation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Population dynamics (general) (92D25) Ill-posed problems for PDEs (35R25)

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Cites Work

• The final value problem for evolution equations
• Stable Patterns in a Viscous Diffusion Equation
• The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations
• A Degenerate Pseudoparabolic Regularization of a Nonlinear Forward-Backward Heat Equation Arising in the Theory of Heat and Mass Exchange in Stably Stratified Turbulent Shear Flow
• Pseudoparabolic Partial Differential Equations
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