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.
이용수
초록· 키워드
오류제보하기
This paper deals with the blow-up phenomenon of solutions to a pseudo-parabolic equation with logarithmic nonlinearity, which was studied extensively in recent years. The previous result depends on the mountain-pass level $d$ (see \eqref{d} for its definition). In this paper, we obtain two blow-up conditions which do not depend on $d$. Moreover, the upper bound of the blow-up time is obtained.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
A. B. Al'shin / 2011 / Blow-up in nonlinear Sobolev type equations / Walter de Gruyter & Co.
T. B. Benjamin / 1997 / Model equations for long waves in nonlinear dispersive systems / Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences 272(1220):47~78
Y. Cao / 2018 / Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity / Electron. J. Dierential Equa-tions 2018:19
Hua Chen / 2015 / Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity / Journal of Differential Equations 258(12):4424~4442
Hang Ding / 2019 / Global existence and blow-up for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity / Journal of Mathematical Analysis and Applications 478(2):393~420
T. B. Benjamin / 1997 / Model equations for long waves in nonlinear dispersive systems / Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences 272(1220):47~78
Y. Cao / 2018 / Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity / Electron. J. Dierential Equa-tions 2018:19
Hua Chen / 2015 / Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity / Journal of Differential Equations 258(12):4424~4442
Hang Ding / 2019 / Global existence and blow-up for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity / Journal of Mathematical Analysis and Applications 478(2):393~420
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
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
-
BLOW-UP PHENOMENA FOR A QUASILINEAR PARABOLIC EQUATION WITH TIME-DEPENDENT COEFFICIENTS UNDER NONLINEAR BOUNDARY FLUX
충청수학회지
2018 .01
-
Global existence and blow-up for a degenerate reaction-diffusion system with nonlinear localized sources and nonlocal boundary conditions
대한수학회지
2016 .01
-
Blow up of solutions for a Petrovsky type equation with logarithmic nonlinearity
대한수학회보
2022 .11
-
Global solution and blow-up of logarithmic Klein-Gordon equation
대한수학회보
2020 .01
-
Blow-up rate for the semi-linear wave equation in bounded domain
대한수학회보
2015 .01
-
Blow-up of solutions for wave equations with strong damping and variable-exponent nonlinearity
대한수학회지
2021 .01
-
A NOTE ON THE CAUCHY PROBLEM FOR HEAT EQUATIONS WITH COUPLING MOVING REACTIONS OF MIXED TYPE
Journal of applied mathematics & informatics
2016 .01
-
Blow-up of Solutions for Higher-order Nonlinear Kirchhofftype Equation with Degenerate Damping and Source
Kyungpook Mathematical Journal
2021 .01
-
Global existence and asymptotic behavior of a plate equation with a constant delay term and logarithmic nonlinearities
대한수학회논문집
2020 .01
-
The Chow ring of a sequence of point blow-ups
대한수학회논문집
2024 .07
-
Relative logarithmic order of an entire function
한국수학논문집
2021 .01
-
On solvability of a class of degenerate Kirchhoff equations with logarithmic nonlinearity
대한수학회지
2023 .05
-
A BLOW-UP RESULT FOR A STOCHASTIC HIGHER-ORDER KIRCHHOFF-TYPE EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS
East Asian Mathematical Journal
2023 .05
-
황사 발원지에서의 관측 자료를 이용한 Wind-Blown Dust 모델의 평가
한국대기환경학회 학술대회논문집
2022 .10
-
Global attractors for nonlocal parabolic equations with a new class of nonlinearities
대한수학회지
2018 .01
-
동아시아 먼지발생원에서 Wind-Blown Dust 모델들의 임계마찰속도 비교
한국대기환경학회 학술대회논문집
2018 .10
-
The Cauchy problem for an integrable generalized Camassa-Holm equation with cubic nonlinearity
대한수학회보
2018 .01
-
EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS TO A FOURTH-ORDER DEGENERATE PARABOLIC EQUATION
대한수학회보
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0