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On blow-ups and the classification of global solutions to parabolic free boundary problems

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Publication:3413375
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DOI10.1512/iumj.2006.55.2797zbMath1141.35033OpenAlexW2050198847MaRDI QIDQ3413375

Kaj Nyström

Publication date: 4 January 2007

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2006.55.2797


zbMATH Keywords

heat equationblow-upPoisson kernelabsolute continuityone-phase free boundary problemcaloric measure


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05) Free boundary problems for PDEs (35R35) Connections of harmonic functions with differential equations in higher dimensions (31B35)


Related Items (4)

A free boundary problem for the parabolic Poisson kernel ⋮ Parabolic NTA domains in ℝ2 ⋮ On an inverse type problem for the heat equation in parabolic regular graph domains ⋮ Blow-ups of caloric measure in time varying domains and applications to two-phase problems




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