Title of article :
Existence and Uniqueness for a Class of SPDEs Driven by Levy Noise in Hilbert Spaces
Author/Authors :
Zamani ، Majid Department of Mathematics and Computer Sciences - Amirkabir University of Technology , Vaezpour ، S. Mansour Department of Mathematics and Computer Sciences - Amirkabir University of Technology , Salavati ، Erfan Department of Mathematics and Computer Sciences - Amirkabir University of Technology
Abstract :
The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with nonLipschitz drift term. The proof is provided by the theory of measure of noncompactness and condensing operators. Moreover, we give some examples to illustrate the application of our main theorem.
Keywords :
Poisson random measure , Mild solution , Measure of non , compactness , Condensing operator
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
