Regularity of the Mild Solution of a Parabolic Equation with Stochastic Measure-Reference-Cited by-同舟云学术

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Regularity of the Mild Solution of a Parabolic Equation with Stochastic Measure

Published:2017-06 Issue:1 Volume:69 Page:1-18
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Bodnarchuk I. M.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s11253-017-1344-4/fulltext.html

Reference15 articles.

1. V. Radchenko, “Mild solution of the heat equation with a general stochastic measure,” Stud. Math., 194, No. 3, 231–251 (2009).

2. J. B. Walsh, “An introduction to stochastic partial differential equations,” in: Lecture Notes in Mathematics, 1180 (1986), pp. 231–251.

3. A. Millet and P. L. Morien, “On implicit and explicit discretization schemes for parabolic SPDEs in any dimension,” Stochast. Proc. Appl., 115, 1073–1106 (2005).

4. J. Printems, “On the discretization in time of parabolic stochastic partial differential equations,” Math. Model. Numer. Anal., 35, No. 6, 1055–1078 (2001).

5. M. Sanz-Solé and A. Süss, “Absolute continuity for SPDEs with irregular fundamental solution,” Electron. Comm. Probab., 20, No. 14, 1–11 (2015), DOI 10.1214/ECP.v20-3831 ; arXiv:1409.8031.

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