Differential and Integral Equations

Regularity results for the blow-up time as a function of the initial data

Manuela Chaves and Julio D. Rossi

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We study the dependence of the finite blow-up time with respect to the initial data for solutions of the equation $u_t= \Delta u^m + u^{p}$. We obtain Lipschitz continuity for a certain class of initial data and Hölder regularity for wider classes.

Article information

Differential Integral Equations, Volume 17, Number 11-12 (2004), 1263-1271.

First available in Project Euclid: 21 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K55: Nonlinear parabolic equations
Secondary: 35B40: Asymptotic behavior of solutions 35K15: Initial value problems for second-order parabolic equations


Chaves, Manuela; Rossi, Julio D. Regularity results for the blow-up time as a function of the initial data. Differential Integral Equations 17 (2004), no. 11-12, 1263--1271. https://projecteuclid.org/euclid.die/1356060245

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