[01806] Well-posedness of a class of SPDE with fully monotone coefficients perturbed by Levy noise
Session Time & Room : 3D (Aug.23, 15:30-17:10) @E502
Type : Contributed Talk
Abstract : In this talk, we consider a class of stochastic partial differential equations with fully locally monotone coefficients in a Gelfand triplet. Under certain generic assumptions of the coefficients, we prove the existence of a probabilistic weak solution as well as the pathwise uniqueness of the solution, which implies the existence of a unique probabilistic strong solution. Finally, we allow both the diffusion and jump noise coefficients to depend on the gradient of the solution.
