SPDEs with rough noise in space: Hölder continuity of the solution-Reference-Cited by-同舟云学术

SPDEs with rough noise in space: Hölder continuity of the solution

Published:2016-12 Issue: Volume:119 Page:310-316
ISSN:0167-7152
Container-title:Statistics & Probability Letters
language:en
Short-container-title:Statistics & Probability Letters

Author:

Balan Raluca M.,Jolis Maria^ORCID,Quer-Sardanyons Lluís

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference9 articles.

1. SPDEs with affine multiplicative fractional noise in space with index 14

2. Multiparameter processes with stationary increments. Spectral representation and integration;Basse-O’Connor;Electron. J. Probab.,2012

3. Extending martingale measure stochastic integral with applications to spatially homogeneous s.p.d.e.’s;Dalang;Electron. J. Probab.,1999

4. Hu, Y., Huang, J., Lê, K., Nualart, D., Tindel, S., 2015. Stochastic heat equation with rough dependence in space. Preprint available at: arXiv:1505.04924.

5. Huang, J., Lê, K., Nualart, D., 2015. Large time asymptotics for the Parabolic Anderson Model driven by spatially correlated noise. Preprint available at: arXiv:1509.00897.

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