Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet
| Autor: | Nimit Rana, Zdzisław Brzeźniak |
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| Rok vydání: | 2020 |
| Předmět: |
General Mathematics
010102 general mathematics Mathematical analysis Probability (math.PR) Sense (electronics) Riemannian manifold Wave equation 01 natural sciences Mathematics - Analysis of PDEs 0103 physical sciences Minkowski space FOS: Mathematics 010307 mathematical physics 0101 mathematics Mathematics - Probability Brownian motion Energy (signal processing) Mathematics Analysis of PDEs (math.AP) |
| DOI: | 10.48550/arxiv.2006.07740 |
| Popis: | We announce a result on the existence of a unique local solution to a stochastic geometric wave equation on the one dimensional Minkowski space $\mathbb{R}^{1+1}$ with values in an arbitrary compact Riemannian manifold. We consider a rough initial data in the sense that its regularity is lower than the energy critical. |
| Databáze: | OpenAIRE |
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