On the Cauchy problem for nondegenerate parabolic integro-differential equations in the scale of generalized Hölder spaces

2018/09/29 by R. Mikulevíčius, Mikulevicius, R., Fanhui Xu +1
Mathematics · #35B65 #35R09 #60J75 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Probability (math.PR) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1810.00262

openalex publication_date 2018/09/29 · openalex created_date 2018/10/05 · openalex updated_date 2026/07/28

Abstract

Parabolic integro-differential non degenerate Cauchy problem is considered in the scale of Hölder spaces of functions whose regularity is defined by a radially O-regularly varying Lévy measure. Existence and uniqueness and the estimates of the solution are derived.

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