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Estimations \(C^ 1\) pour des problèmes paraboliques semi-linéaires. (French) Zbl 0531.35048

See the preview in Zbl 0494.35054.

MSC:

35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35B40 Asymptotic behavior of solutions to PDEs
35B65 Smoothness and regularity of solutions to PDEs

Citations:

Zbl 0494.35054
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References:

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[9] Dias, J.P. ET Haraux, A.. «Smoothing effect and asymptotic behavior for the solutions of a nonlinear time dependent system». Proc. Roy. Soc. Edinburgh87 A (1981), 289-303. · Zbl 0458.35054
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[19] Pazy, A.. «Semi-groups of operators and applications to partial differential equations». Univ. of Maryland Press (1974).
[20] Segal, I.. «Non-linear semi-groups». Ann. Math.78 (1963), 339-364. · Zbl 0204.16004
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