Existence of Cα solutions to integro-PDEs

Chenchen Mou

doi:10.1007/s00526-019-1597-x

Existence of C^α solutions to integro-PDEs

Chenchen Mou^*

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

11 Citations (Scopus)

Abstract

This paper is concerned with existence of a C^α viscosity solution of a second order non-translation invariant integro-PDE. We first obtain a weak Harnack inequality for such integro-PDE. We then use the weak Harnack inequality to prove Hölder regularity and existence of solutions of the integro-PDEs.

Original language	English
Article number	143
Journal	Calculus of Variations and Partial Differential Equations
Volume	58
Issue number	4
Online published	25 Jul 2019
DOIs	https://doi.org/10.1007/s00526-019-1597-x
Publication status	Published - Aug 2019
Externally published	Yes

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Cite this

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title = "Existence of Cα solutions to integro-PDEs",

abstract = "This paper is concerned with existence of a Cα viscosity solution of a second order non-translation invariant integro-PDE. We first obtain a weak Harnack inequality for such integro-PDE. We then use the weak Harnack inequality to prove H{\"o}lder regularity and existence of solutions of the integro-PDEs.",

author = "Chenchen Mou",

year = "2019",

month = aug,

doi = "10.1007/s00526-019-1597-x",

language = "English",

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AU - Mou, Chenchen

PY - 2019/8

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AB - This paper is concerned with existence of a Cα viscosity solution of a second order non-translation invariant integro-PDE. We first obtain a weak Harnack inequality for such integro-PDE. We then use the weak Harnack inequality to prove Hölder regularity and existence of solutions of the integro-PDEs.

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U2 - 10.1007/s00526-019-1597-x

DO - 10.1007/s00526-019-1597-x

M3 - RGC 21 - Publication in refereed journal

SN - 0944-2669

VL - 58

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 4

M1 - 143

ER -