A singular Gierer-Meinhardt system with different source terms

Details A singular Gierer-Meinhardt system with different source terms A singular Gierer-Meinhardt system with different source terms

2006-11-26

arxiv.org/abs/math/0611792v1

Mathematics

Analysis of PDEs

Scientific paper

We study the existence or the nonexistence of classical solutions to a
singular Gierer-Meinhardt system with Dirichlet boundary condition. The main
feature of our model is that the activator and the inhibitor have different
sources given by general nonlinearities. Additional regularity and uniqueness
results are established for the one dimensional case.

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