Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy
被引量:1
Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy
Blow up
fourth order
boundary dissipation.
参考文献17
-
1An L. J., Peirce A., A weakly nonlinear analysis of elasto-plastic-microstructure models. SIAM J. Appl. Math., 55 (1995), 136-155.
-
2Chen G., Yang Z., Existence and non-existence of global solutions for a class of nonlinear wave equations. Math. Methods Appl. Sci., 23 (2000), 615-631.
-
3Zhou Y., Global existence and nonexistence for a nonlinear wave equation with damping and source terms. Math. Nachr., 278 (2005), 1341-1358.
-
4Zhou Y., A blow-up result for a nonlinear wave equation with damping and vanishing initial energy in RN. Appl. Math. Lett., 18 (2005), 281-286.
-
5Zhou Y., Global nonexistence for a quasilinear evolution equation with critical lower energy. Arch. Inequal. Appl., 2 (2004), 41-47.
-
6Bilgin B. A., Kalantarov V. K., Blow up of solutions to the initial boundary value problem for quasilinear strongly damped wave equations. J. Math. Anal. Appl., 403 (2013), 89-94.
-
7Tahamtani F., Shahrouzi M., Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term. Boundary Value Problems, 50 (2012), 1-15.
-
8Shahrouzi M., Tahamtani E, Global nonexistence and stability of the solutions of inverse problems for a class of Petrovsky systems. Georgian Math., J., 19 (2012), 575-586.
-
9Tahamtani F., Shahrouzi M., Asymptotic stability and blow up of solutions for a Petro- vsky inverse source problem with dissipative boundary condition. Math. Meth. Appl. Sci., 36 (2013), 829-839.
-
10Chen W., Zhou Y., Global nonexistence for a semilinear Petrovsky equation. Nonl. Anal., 70 (2009), 3203-3208.
-
1Hu Qingying Zhang Hongwei.BLOW-UP OF SOLUTIONS TO ELLIPTIC EQUATIONS WITH SEMILINEAR DYNAMICAL BOUNDARY CONDITIONS OF HYPERBOLIC TYPE[J].Annals of Differential Equations,2007,23(4):422-426. 被引量:2
-
2吴秀兰,高文杰.BLOW-UP OF THE SOLUTION FOR A CLASS OF POROUS MEDIUM EQUATION WITH POSITIVE INITIAL ENERGY[J].Acta Mathematica Scientia,2013,33(4):1024-1030. 被引量:1
-
3ZHAO Cai-di,LI Yong-sheng.Attractor for a Fourth-order Equation in the Whole Line[J].Chinese Quarterly Journal of Mathematics,2006,21(2):229-235.
-
4丁伟岳.Blow-up of Solutions of Heat Flows for Harmonic Maps[J].数学进展,1990,19(1):80-92. 被引量:4
-
5吴学凇,高文杰,曹建文.GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A NONLOCAL EVOLUTION p-LAPLACE SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS[J].Acta Mathematica Scientia,2011,31(3):1001-1010. 被引量:1
-
6WU Shuntang.Blow-Up of Solutions for a Singular Nonlocal Viscoelastic Equation[J].Journal of Partial Differential Equations,2011,24(2):140-149. 被引量:1
-
7Siwar AMMAR,Mokhles HAMMAMI.BLOWING UP AND MULTIPLICITY OF SOLUTIONS FOR A FOURTH-ORDER EQUATION WITH CRITICAL NONLINEARITY[J].Acta Mathematica Scientia,2015,35(6):1511-1546.
-
8蒋良军,王悦生.Global existence and blow-up of solutions to reaction-diffusion system with a weighted nonlocal source[J].Journal of Shanghai University(English Edition),2011,15(6):501-505.
-
9Gao Yun-zhu,Gao Wen-jie.Existence and Blow-up of Solutions for a Nonlinear Parabolic System with Variable Exponents[J].Communications in Mathematical Research,2013,29(1):61-67.
-
10SUN PENG GAO WEN-JIE HAN YU-ZHU.Blow-up of Solutions to Porous Medium Equations with a Nonlocal Boundary Condition and a Moving Localized Source[J].Communications in Mathematical Research,2012,28(3):243-251.