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- Title
Global well-posedness for the nonlinear generalized parabolic Anderson model equation.
- Authors
Zhang, Qi
- Abstract
We study the global existence of the singular nonlinear parabolic Anderson model equation on 2 -dimensional tours 2 . The method is based on paracontrolled distribution and renormalization. After splitting the original nonlinear parabolic Anderson model equation into two simple equations, we prove the global well-posedness by some a priori estimates and smooth approximations. Furthermore, we prove the uniqueness of the solution by using classical energy estimates.
- Subjects
ANDERSON model; EQUATIONS; GLOBAL analysis (Mathematics); GENERALIZED estimating equations
- Publication
Stochastics & Dynamics, 2023, Vol 23, Issue 5, p1
- ISSN
0219-4937
- Publication type
Article
- DOI
10.1142/S0219493723500375