Degenerate parabolic system;
Continuity on the coupling terms;
Time-derivative estimates;
SEMILINEAR HEAT-EQUATION;
CONTINUOUS DEPENDENCE;
BLOWUP;
NONLINEARITIES;
D O I:
10.1007/s10883-013-9205-4
中图分类号:
TP [自动化技术、计算机技术];
学科分类号:
0812 ;
摘要:
The Dirichlet problem on a coupled system for degenerate parabolic equations is investigated in this paper. The aim is to show the existence, uniqueness of maximum solution, the continuity on the coupled functions, and time-dependent estimates.
机构:
CNRS, Dept Math & Applicat, 45 Rue Ulm, F-75005 Paris, France
Ecole Normale Super Paris, 45 Rue Ulm, F-75005 Paris, FranceCNRS, Dept Math & Applicat, 45 Rue Ulm, F-75005 Paris, France
Imbert, Cyril
Jin, Tianling
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机构:
Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R ChinaCNRS, Dept Math & Applicat, 45 Rue Ulm, F-75005 Paris, France
Jin, Tianling
Silvestre, Luis
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机构:
Univ Chicago, Dept Math, 5734 S Univ Ave, Chicago, IL 60637 USACNRS, Dept Math & Applicat, 45 Rue Ulm, F-75005 Paris, France