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[02107] Nonlinear stochastic heat equation with variable thermal conductivity

  • Session Time & Room : 2E (Aug.22, 17:40-19:20) @G502
  • Type : Contributed Talk
  • Abstract : We consider a stochastic heat equation with variable thermal conductivity, on infinite domain, with both deterministic and stochastic source and with stochastic initial data. The stochastic source appears in the form of multiplicative generalized stochastic process. In our solving procedure we use regularized derivatives and the theory of generalized uniformly continuous semigroups of operators. We establish and prove the result concerning the existence and uniqueness of solution within certain generalized function space.
  • Classification : 35D30, 35K05, 47D99
  • Format : Talk at Waseda University
  • Author(s) :
    • Danijela Rajter-Ciric (Faculty of Sciences, University of Novi Sad)
    • Milos Japundzic (Novi Sad School of Business - Higher Education Institution for Applied Studies)