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Appearance of anomalous singularities in a semilinear parabolic equation

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Publication:1947867
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DOI10.3934/cpaa.2012.11.387zbMath1264.35125OpenAlexW2324241237MaRDI QIDQ1947867

Eiji Yanagida, Shota Sato

Publication date: 29 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.387

zbMATH Keywords

power nonlinearitysingular solutionbackward self-similar solutionmoving singularity


Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Self-similar solutions to PDEs (35C06)


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Entire solutions with moving singularities for a semilinear heat equation with a critical exponent, Convergence rate to singular steady states in a semilinear parabolic equation, Higher-dimensional moving singularities in a superlinear parabolic equation, Singular solutions of a superlinear parabolic equation with homogeneous Neumann boundary conditions, Singularities of certain finite energy solutions to the Navier-Stokes system, Sign-changing solutions of the nonlinear heat equation with persistent singularities, Time-dependent singularities in the Navier-Stokes system



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