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LARGE DEVIATION PRINCIPLE OF OCCUPATION MEASURES FOR NON-LINEAR MONOTONE SPDES
RAN WANG1; JIE XIONG2; LIHU XU2
2021-04
Source PublicationSCIENCE CHINA Mathematics
ISSN1674-7283
Volume64Issue:4Pages:799-822
Abstract

Using the hyper-exponential recurrence criterion, a large deviation principle for the occupation measure is derived for a class of non-linear monotone stochastic partial differential equations. The main results are applied to many concrete SPDEs such as stochastic p-Laplace equation, stochastic porous medium equation, stochastic fast-diffusion equation, and even stochastic real GinzburgLandau equation driven by α-stable noises.

KeywordStochastic Partial Differential Equations Large Deviation Principle Occupation Measure Hyper-exponential Recurrence
DOI10.1007/s11425-018-9482-1
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000546208000001
Scopus ID2-s2.0-85082725730
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Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorLIHU XU
Affiliation1.School of Mathematical Sciences, University of Science and Technology of China, Hefei, China
2.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macau
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
RAN WANG,JIE XIONG,LIHU XU. LARGE DEVIATION PRINCIPLE OF OCCUPATION MEASURES FOR NON-LINEAR MONOTONE SPDES[J]. SCIENCE CHINA Mathematics, 2021, 64(4), 799-822.
APA RAN WANG., JIE XIONG., & LIHU XU (2021). LARGE DEVIATION PRINCIPLE OF OCCUPATION MEASURES FOR NON-LINEAR MONOTONE SPDES. SCIENCE CHINA Mathematics, 64(4), 799-822.
MLA RAN WANG,et al."LARGE DEVIATION PRINCIPLE OF OCCUPATION MEASURES FOR NON-LINEAR MONOTONE SPDES".SCIENCE CHINA Mathematics 64.4(2021):799-822.
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