On the Cauchy Problem for Nondegenerate Parabolic Integro-Differential Equations in the Scale of Generalized Hölder Spaces

被引：0

作者：

R. Mikulevičius

Fanhui Xu

机构：

[1] University of Southern California,Department of Mathematics

来源：

Potential Analysis | 2020年 / 53卷

关键词：

Non-local parabolic integro-differential equations; Lévy processes; 35R09; 60J75; 35B65;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Parabolic integro-differential nondegenerate 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.

引用

页码：839 / 870

页数：31

共 50 条

[31] CONTINUOUS AND GENERALIZED SOLUTIONS OF SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
Sidorov, N. A.
Falaleev, M. V.
[J]. BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2012, (11): : 62 - 74
[32] Approximate solution of singular integro-differential equations in generalized Holder spaces
Caraus, Iurie Nicolae
Al Faqih, Feras M.
[J]. NUMERICAL ALGORITHMS, 2007, 45 (1-4) : 205 - 215
[33] Approximation of solutions to linear integro-differential parabolic equations in Lp-spaces
Lorenzi, Alfredo
Messina, Francesca
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 333 (02) : 642 - 656
[34] Higher Order Convergence for Nonlinear Parabolic Integro-Differential Equations by Generalized Quasilinearization
Melton, T. G.
Vatsala, A. S.
[J]. APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS '34, 2008, 1067 : 381 - 389
[35] Singular Cauchy Initial Value Problem for Certain Classes of Integro-Differential Equations
Zdeněk Šmarda
[J]. Advances in Difference Equations, 2010
[36] Singular Cauchy Initial Value Problem for Certain Classes of Integro-Differential Equations
Smarda, Zdenek
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[37] On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian
dos Santos, E. B.
Leitao, R.
[J]. PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 2 (02):
[38] A Problem with Parameter for the Integro-Differential Equations
Bakirova, Elmira A.
Assanova, Anar T.
Kadirbayeva, Zhazira M.
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2021, 26 (01) : 34 - 54
[39] The Weighted Cauchy Type Problem and Cauchy Problem for the Linear Barbashin Integro-Differential Equations with Fractional Partial Derivative
Kalitvin A.S.
Kalitvin V.A.
[J]. Journal of Mathematical Sciences, 2016, 219 (1) : 125 - 132
[40] INTEGRO-DIFFERENTIAL EQUATIONS FOR HYPERBOLIC CAUCHY-PROBLEMS IN SPACES OF ULTRA-DISTRIBUTIONS
SCHENK, D
[J]. MATHEMATISCHE NACHRICHTEN, 1979, 92 : 247 - 260

← 1 2 3 4 5 →