[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.
