Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems

By Gérard A. Philippin, V. Proytcheva. 2006

49 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/b850f983724d7a2f1b9ffbe685c32b6befa13f32

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In Applied Mathematics

1. Lawrence E. Payne
2. Stella Vernier Piro
3. Gérard A. Philippin

In Computational Theory and Mathematics

1. Gérard A. Philippin
2. Lawrence E. Payne
3. Stella Vernier Piro
4. Philip W. Schaefer

In Control and Systems Engineering

1. Gérard A. Philippin
2. Lawrence E. Payne
3. Stella Vernier Piro
4. Philip W. Schaefer

Citations in the corpus

• Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition, I (2010, methodology): “Using a technique employed by Philippin and Proytcheva in [ 11 ], we establish, in this section, conditions on the data of problem (1.1)–(1.3) under which u(x ,t ) will blow up at finite time t ∗ and derive under these conditions an upper bound T for t ∗ . In fact, we prove the following result.”