A complete characterization of the discrete p-Laplacian parabolic equations with q-nonlocal reaction with respect to the blow-up property
- 주제(키워드) semilinear parabolic equation , discrete p-Laplacian , nonlocal reaction , blow-up , Dirichlet boundary value problem
- 발행기관 서강대학교 일반대학원
- 지도교수 정순영
- 발행년도 2018
- 학위수여년월 2018. 8
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- 실제URI http://www.dcollection.net/handler/sogang/000000063387
- UCI I804:11029-000000063387
- 본문언어 영어
- 저작권 서강대학교 논문은 저작권보호를 받습니다.
초록/요약
In this thesis, we consider discrete p-Laplacian nonlinear parabolic equations with q-nonlocal reaction under the Dirichlet boundary condition and the initial condition as follows: (equation) Here, S is a network with boundary S. The goal of this thesis is to characterize completely the parameters p > 1 and q > 0 to see when the solution blows up, vanishes, or exists globally. Indeed, the blow-up rates for the blow-up solutions are derived. Also, we give some numerical experiments which explain the main results.
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