Free Access
Issue |
ESAIM: COCV
Volume 21, Number 3, July-September 2015
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Page(s) | 815 - 834 | |
DOI | https://doi.org/10.1051/cocv/2014051 | |
Published online | 20 May 2015 |
- C. Bandle and H. Brunner, Blowup in diffusion equations: a survey. J. Comput. Appl. Math. 97 (1998) 3–22. [CrossRef] [MathSciNet] [Google Scholar]
- E.N. Barron and W. Liu, Optimal control of the blowup time. SIAM J. Control Optim. 34 (1996) 102–123. [CrossRef] [MathSciNet] [Google Scholar]
- M. Escobedo and M.A. Herrero, Boundedness and blow up for a semilinear reaction diffusion system. J. Differ. Equ. 89 (1991) 176–202. [CrossRef] [Google Scholar]
- A.F. Filippov, On certain questions in the theory of optimal control. SIAM J. Control Ser. A 1 (1962) 76–84. [Google Scholar]
- R. Glassey, Blow-up theorems for nonlinear wave-equations. Mathematische Zeitschrift 132 (1973) 183–203. [CrossRef] [MathSciNet] [Google Scholar]
- J.-S. Guo and B. Hu, Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary. J. Math. Anal. Appl. 269 (2002) 28–49. [CrossRef] [Google Scholar]
- P. Lin and G. Wang, Blowup time optimal control for ordinary differential equations. SIAM J. Control Optim. 49 (2011) 73–105. [CrossRef] [MathSciNet] [Google Scholar]
- H. Lou, J. Wen and Y. Xu, Time optimal control problems for some non-smooth systems. Math. Control Relat. Fields 4 (2014) 289–314. [CrossRef] [MathSciNet] [Google Scholar]
- B. Yordanov and Q.S. Zhang, Finite-time blowup for wave equations with a potential. SIAM J. Math. Anal. 36 (2005) 1426–1433. [CrossRef] [MathSciNet] [Google Scholar]
- K. Yosida, Functional analysis, 6th ed. Springer-Verlag, Berlin (1980). [Google Scholar]
- Z. Zhang and B. Hu, Rate estimates of gradient blowup for a heat equation with exponential nonlinearity. Nonlin. Anal. Theory Methods Appl. 72 (2010) 4594–4601. [CrossRef] [Google Scholar]
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