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We study the two-dimensional stochastic nonlinear wave equations (SNLW) with an additive space-time white noise forcing. In particular, we introduce a time-dependent renor- malization and prove that SNLW is pathwise locally well-posed. As an application of the local well-posedness argument, we also establish a weak universality result for the renormalized SNLW.
|Number of pages||25|
|Journal||Transactions of the American Mathematical Society|
|Early online date||7 Jun 2018|
|Publication status||Published - Oct 2018|
- stochastic nonlinear wave equation
- nonlinear wave equation
- Wick ordering
- Hermite polynomial
- white noise
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- 1 Finished
ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations
1/03/15 → 29/02/20