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On the heat diffusion starting with degeneracy

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Publication:729968
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DOI10.1016/j.jde.2016.11.013zbMath1361.35100OpenAlexW2551730870MaRDI QIDQ729968

Kyeong-Hun Kim, Kijung Lee

Publication date: 22 December 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.11.013


zbMATH Keywords

degenerate parabolic equationinstant smoothing property


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)


Related Items

On the second order derivative estimates for degenerate parabolic equations ⋮ Kinetic maximal \(L^p\)-regularity with temporal weights and application to quasilinear kinetic diffusion equations ⋮ Fractional diffusion equation degenerating in the initial hyperplane



Cites Work

  • Hölder regularity of solutions of degenerate elliptic and parabolic equations.
  • Sobolev Space Theory of Parabolic Equations Degenerating on the Boundary ofC1Domains
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