Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces

Majid Zamani; S. Mansour Vaezpour; Erfan Salavati

Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces

Publish place: Sahand Communications in Mathematical Analysis، Vol: 18، Issue: 3

Publish Year: 1400

نوع سند: مقاله ژورنالی

زبان: English

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لینک ثابت به این Paper:

https://civilica.com/doc/1275143

شناسه ملی سند علمی:

JR_SCMA-18-3_004

تاریخ نمایه سازی: 4 مهر 1400

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 non-Lipschitz 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 noncompactness , Condensing operator

Authors

Majid Zamani

Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.

S. Mansour Vaezpour

Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.

Erfan Salavati

Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.

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