Evolution equation related to the Gross Laplacian
2008-12-17 14:30 2008-12-17 15:30 2008-12-17 14:30 .. 15:30
by Habib Ouerdiane (Department of Mathematics, Faculty of Sciences of Tunis, Tunisia)
In this talk we study a Cauchy problem associated to Δ*K, the adjoint of ΔK which is related to the Gross Laplacian for certain choice of the operator K. We show that the solution is a well defined generalized function in an appropriate space. Finally, using infinite dimensional stochastic calculus we give a probabilistic representation of the solution in terms of K-Wiener process W.