Comptes Rendus
no. 6
Équations aux dérivées partielles, Probabilités
Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet
Zdzisław Brzeźniak1   ; Nimit Rana1
1 Department of Mathematics, The University of York, Heslington, York, UK
Comptes Rendus. Mathématique, Volume 358 (2020) no. 6, pp. 633-639.

We announce a result on the existence of a unique local solution to a stochastic geometric wave equation on the one dimensional Minkowski space ℝ1+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.

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DOI : 10.5802/crmath.38

Zdzisław Brzeźniak 1 ; Nimit Rana 1

1 Department of Mathematics, The University of York, Heslington, York, UK
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Low regularity solutions to the stochastic geometric wave equation driven by a fractional {Brownian} sheet},
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Zdzisław Brzeźniak; Nimit Rana. Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet. Comptes Rendus. Mathématique, Volume 358 (2020) no. 6, pp. 633-639. doi : 10.5802/crmath.38. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.38/

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