Seminars&Colloquia
- Colloquium: A probabilistic approach to non-local equations
- saarc |
- 2024-09-06 13:53:00|
- 100
- 2024-09-06 13:53:00|
- 일시
- 2024. 11. 19. 16:00~17:00
- 장소
- E6-1, Room 1401
- 연사
- 박대한 교수
Title: A probabilistic approach to non-local equations
Abstract: This presentation will consider the Sobolev regularity for solutions to space-time non-local equations. Spatial non-local operators in this presentation are the infinitesimal generator of Levy processes. The relation between the fundamental solution and the transition density of corresponding processes which generates the operator allows one to obtain the estimation of solutions in Lp-spaces. Several results will be introduced with assumptions. The main ingredients are a representation of solutions, heat kernel estimations, and some properties of (singular) integral operators.
Abstract: This presentation will consider the Sobolev regularity for solutions to space-time non-local equations. Spatial non-local operators in this presentation are the infinitesimal generator of Levy processes. The relation between the fundamental solution and the transition density of corresponding processes which generates the operator allows one to obtain the estimation of solutions in Lp-spaces. Several results will be introduced with assumptions. The main ingredients are a representation of solutions, heat kernel estimations, and some properties of (singular) integral operators.
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