지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In this paper we consider the following strongly damped wave equation with variable-exponent nonlinearity $$u_{tt}(x,t) - \Delta u (x,t) - \Delta u_t (x,t) = |u(x,t)|^{p(x)-2} u(x,t) , $$ where the exponent $p(\cdot)$ of nonlinearity is a given measurable function. We establish finite time blow-up results for the solutions with non-positive initial energy and for certain solutions with positive initial energy. We extend the previous results for strongly damped wave equations with constant exponent nonlinearity to the equations with variable-exponent nonlinearity.
목차
등록된 정보가 없습니다.
참고문헌 (28)
참고문헌 신청
R. Aboulaich / 2008 / New diffusion models in image processing / Computers & Mathematics with Applications 56(4):874~882
S. Antontsev / 2011 / Wave equation with p(x, t)-Laplacian and damping term: existence and blow-up / Differ. Equ. Appl 3(4):503~525
S. Antontsev / 2010 / Blow-up of solutions to parabolic equations with nonstandard growth conditions / Journal of Computational and Applied Mathematics 234(9):2633~2645
S. Antontsev / 2015 / Evolution PDEs with nonstandard growth conditions / Atlantis Press
J. M. Ball / 1977 / Remarks on blow-up and nonexistence theorems for nonlinear evolution equations / Quart. J. Math. Oxford Ser 28(112):112
S. Antontsev / 2011 / Wave equation with p(x, t)-Laplacian and damping term: existence and blow-up / Differ. Equ. Appl 3(4):503~525
S. Antontsev / 2010 / Blow-up of solutions to parabolic equations with nonstandard growth conditions / Journal of Computational and Applied Mathematics 234(9):2633~2645
S. Antontsev / 2015 / Evolution PDEs with nonstandard growth conditions / Atlantis Press
J. M. Ball / 1977 / Remarks on blow-up and nonexistence theorems for nonlinear evolution equations / Quart. J. Math. Oxford Ser 28(112):112
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
FINITE TIME BLOW UP OF SOLUTIONS FOR A STRONGLY DAMPED NONLINEAR KLEIN-GORDON EQUATION WITH VARIABLE EXPONENTS
호남수학학술지
2018 .01
-
Global nonexistence for the wave equation with boundary variable exponent nonlinearities
대한수학회지
2022 .01
-
Two new blow-up conditions for a pseudo-parabolic equation with logarithmic nonlinearity
대한수학회보
2019 .01
-
Average degree exponent sum energy of graphs
Advanced Studies in Contemporary Mathematics
2021 .07
-
Blow-up of Solutions for Higher-order Nonlinear Kirchhofftype Equation with Degenerate Damping and Source
Kyungpook Mathematical Journal
2021 .01
-
Existence Results for an Nonlinear Variable Exponents Anisotropic Elliptic Problems
Kyungpook Mathematical Journal
2024 .06
-
Distribution of the approximation exponents of a family of power series over a finite field
대한수학회보
2018 .01
-
미세먼지 계절관리제: (I) 어떤 배출물질을 줄여야 하는가?
한국대기환경학회지(국문)
2022 .10
-
Asymptotic behavior for strongly damped wave equations on $\mathbb R^3$ with memory
대한수학회지
2024 .07
-
On solvability of a class of degenerate Kirchhoff equations with logarithmic nonlinearity
대한수학회지
2023 .05
-
Blow-up time and blow-up rate for pseudo-parabolic equations with weighted source
대한수학회논문집
2020 .01
-
Blow-up and global solutions for some parabolic systems under nonlinear boundary conditions
대한수학회지
2019 .01
-
Global existence and asymptotic behavior of a plate equation with a constant delay term and logarithmic nonlinearities
대한수학회논문집
2020 .01
-
Blow up of solutions for a Petrovsky type equation with logarithmic nonlinearity
대한수학회보
2022 .11
-
Global solutions for a class of nonlinear sixth-order wave equation
대한수학회보
2018 .01
-
A NOTE ON THE CAUCHY PROBLEM FOR HEAT EQUATIONS WITH COUPLING MOVING REACTIONS OF MIXED TYPE
Journal of applied mathematics & informatics
2016 .01
-
On zeros and growth of solutions of second order linear differential equations
대한수학회논문집
2020 .01
-
Existence of solutions for elliptic system with nonlinearities under the Dirichlet boundary condition
한국수학논문집
2015 .01
-
Global solution and blow-up of logarithmic Klein-Gordon equation
대한수학회보
2020 .01
-
SHALLOW ARCHES WITH WEAK AND STRONG DAMPING
대한수학회지
2017 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0