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[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.
  • Classification : 60H15, 35R60, 35Q35
  • Format : Talk at Waseda University
  • Author(s) :
    • Ankit Kumar (Indian Institute of Technology, Roorkee, Uttarakhand )
    • Manil T. Mohan (Indian Institute of Technology, Roorkee, Uttarakhand)