A class of degenerate parabolic equations with a concentrated nonlinear source

DOI10.1016/j.na.2009.06.082zbMath1180.35313OpenAlexW2029453575MaRDI QIDQ1049487

Shuhe Wang, Jingxue Yin, Yuanyuan Ke

Publication date: 12 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.06.082

zbMATH Keywords

generalized solutionsexistence

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Cites Work

• Explosion in a diffusive strip due to a source with local and nonlocal features
• Nonlinear elliptic and parabolic equations involving measure data
• Existence results for some nonlinear parabolic equations with nonregular data
• Nonlinear elliptic equations with measure data
• Single-point blow-up for a degenerate parabolic problem with a nonlinear source of local and nonlocal features.
• A class of degenerate diffusion equations with mixed boundary conditions
• Explosion in a diffusive strip due to a concentrated nonlinear source
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Single-point blow-up for a degenerate parabolic problem due to a concentrated nonlinear source
• A blow-up criterion for a degenerate parabolic problem due to a concentrated nonlinear source
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