Regularity of the free boundary in a nonlocal one-dimensional parabolic\n free boundary value problem

2012/11/09 by Rossitza Semerdjieva, Semerdjieva, Rossitza
Mathematics · #35B65 #35K10 #35R35 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Differential Equations Analysis #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1211.2219

openalex publication_date 2012/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider one-dimensional parabolic free boundary value problem with a\nnonlocal (integro-differential) condition on the free boundary. Results on\nC^m-regularity of the free boundary are obtained. In particular, a necessary\nand sufficient condition for infinite differentiability of the free boundary is\ngiven.\n

Citations

• Global existence of classical solutions for a nonlocal one dimensional parabolic free boundary problem

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