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
This paper, we investigate a strongly damped nonlinear Klein-Gordon equation with nonlinearities of variable exponent type $$u_{tt}-{\Delta}u-{\Delta}u_t+m^2u+{\mid}u_t{\mid}^{p(x)-2}u_t={\mid}u{\mid}^{q(x)-2}u$$ associated with initial and Dirichlet boundary conditions in a bounded domain. We obtain a nonexistence of solutions if variable exponents p (.), q (.) and initial data satisfy some conditions.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
Y. Chen / 2006 / Variable Exponent, Linear Growth Functionals in Image Restoration / SIAM Journal on Applied Mathematics 66:1383~1406
L. Diening / 2011 / Lebesgue and Sobolev Spaces with Variable Exponents / Springer-Verlag
J. Esquivel-Avila / 2017 / Remarks on the qualitative behavior of the undamped Klein-Gordon equation / Math. Meth. Appl. Sci :1~9
X.L. Fan / 2001 / Sobolev embedding theorems for spaces Wk;p(x) () / J. Math. Anal. Appl 263:749~760
V. Georgiev / 1994 / Existence of a solution of the wave equation with nonlinear damping and source term / J. Di er. Equations 109:295~308
L. Diening / 2011 / Lebesgue and Sobolev Spaces with Variable Exponents / Springer-Verlag
J. Esquivel-Avila / 2017 / Remarks on the qualitative behavior of the undamped Klein-Gordon equation / Math. Meth. Appl. Sci :1~9
X.L. Fan / 2001 / Sobolev embedding theorems for spaces Wk;p(x) () / J. Math. Anal. Appl 263:749~760
V. Georgiev / 1994 / Existence of a solution of the wave equation with nonlinear damping and source term / J. Di er. Equations 109:295~308
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Blow-up of solutions for wave equations with strong damping and variable-exponent nonlinearity
대한수학회지
2021 .01
-
Global nonexistence for the wave equation with boundary variable exponent nonlinearities
대한수학회지
2022 .01
-
Global solution and blow-up of logarithmic Klein-Gordon equation
대한수학회보
2020 .01
-
Existence Results for an Nonlinear Variable Exponents Anisotropic Elliptic Problems
Kyungpook Mathematical Journal
2024 .06
-
Blow-up of Solutions for Higher-order Nonlinear Kirchhofftype Equation with Degenerate Damping and Source
Kyungpook Mathematical Journal
2021 .01
-
Blow-up and global solutions for some parabolic systems under nonlinear boundary conditions
대한수학회지
2019 .01
-
On semilocal Klein-Gordon-Maxwell equations
대한수학회지
2021 .09
-
Distribution of the approximation exponents of a family of power series over a finite field
대한수학회보
2018 .01
-
Average degree exponent sum energy of graphs
Advanced Studies in Contemporary Mathematics
2021 .07
-
Blow-up time and blow-up rate for pseudo-parabolic equations with weighted source
대한수학회논문집
2020 .01
-
Mild solutions for the relativistic Vlasov-Klein-Gordon system
대한수학회보
2019 .01
-
Qualitative properties of weak solutions for p-Laplacian equations with nonlocal source and gradient absorption
대한수학회보
2020 .01
-
Global solutions for a class of nonlinear sixth-order wave equation
대한수학회보
2018 .01
-
Global existence and blow-up for a degenerate reaction-diffusion system with nonlinear localized sources and nonlocal boundary conditions
대한수학회지
2016 .01
-
A NOTE ON THE CAUCHY PROBLEM FOR HEAT EQUATIONS WITH COUPLING MOVING REACTIONS OF MIXED TYPE
Journal of applied mathematics & informatics
2016 .01
-
Two new blow-up conditions for a pseudo-parabolic equation with logarithmic nonlinearity
대한수학회보
2019 .01
-
Existence of Solutions for a Class of p(x)-Kirchhoff Type Equation with Dependence on the Gradient
Kyungpook Mathematical Journal
2018 .01
-
Blow-up rate for the semi-linear wave equation in bounded domain
대한수학회보
2015 .01
-
On zeros and growth of solutions of second order linear differential equations
대한수학회논문집
2020 .01
-
Multiplicity result of the solutions for a class of the elliptic systems with subcritical Sobolev exponents
한국수학논문집
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0