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Dependence of the Blow-up Time with Respect to Parameters for Semilinear Parabolic Equations with Nonlinear Memory

Dependence of the Blow-up Time with Respect to Parameters for Semilinear Parabolic Equations with Nonlinear Memory
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摘要 In this paper we discuss the bounds for the modulus of continuity of the blow-up time with respect to three parameters of λ, h, and p respectively for the initial boundary value problem of the semilinear parabolic equation. In this paper we discuss the bounds for the modulus of continuity of the blow-up time with respect to three parameters of λ, h, and p respectively for the initial boundary value problem of the semilinear parabolic equation.
作者 HUANG HUI GUAN LU-TAI ZHU QING-YONG
机构地区 Department of Mathematics Department of Computation
出处 《Communications in Mathematical Research》 CSCD 2009年第3期246-252,共7页 数学研究通讯（英文版）
基金 The NSF (10572154,60873088) of China the NCET-06-0731 the NSF (7004569,7003624) of Guangdong,China
关键词 nonlocal parabolic equation nonlinear memory blow-up time BOUND nonlocal parabolic equation, nonlinear memory, blow-up time, bound
分类号 O175.26 [理学—基础数学] O174.41 [理学—基础数学]
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参考文献8

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  • 2Li, Y. and Xie, C., Blow-up for semilinear parabolic equations with nonlinear memory, Z. Angew. Math. Phys., 55(2004), 15-27.
  • 3Bellout, H., Blow-up of solutions of parabolic equations with nonlinear memory, J. Differential Equations, 70(1987), 42-68.
  • 4Souplet, Ph., Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory, Z. Angew. Math. Phys., 55(2004), 28-31.
  • 5Zheng, S. and Wang, W., Blow-up rate for a nonlinear diffusion equation, Appl. Math. Left., 19(2006), 1385-1389.
  • 6Galaktionov, V. A. and Vazquez, J. L., Continuation of blow-up solutions of nonlinear heat equations in several space dimensions, Comm. Pure Appl. Math., 50(1997), 1-67.
  • 7Quittner, P., Continuity of the blow-up time and a priori bounds for solutions in superlinear parabolic problems, Houston J. Math., 29(2003), 875-900.
  • 8Groisman, P. and Rossi, J. D., Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem, Asymptotic Anal., 37(2004), 79-91.
Communications in Mathematical Research
2009年 第3期

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