The porous medium equation with a concentrated nonlinear source

DOI10.1080/00036811.2010.541444zbMath1261.35081OpenAlexW2012080876MaRDI QIDQ3225832

Jingxue Yin, Shuhe Wang, Yuanyuan Ke

Publication date: 22 March 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.541444

zbMATH Keywords

approximate solutionsgeneralized solution

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (1)

A local theory for a fractional reaction-diffusion equation

Cites Work

• Nonlinear elliptic and parabolic equations involving measure data
• A multi-dimensional quenching problem due to a concentrated nonlinear source in \(\mathbb R^N\)
• Multi-dimensional explosion due to a concentrated nonlinear source
• A criterion for a multi-dimensional explosion due to a concentrated nonlinear source
• A diffusion equation with localized chemical reactions

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