Non-simultaneous blow-up for a semilinear parabolic system with nonlinear memory.
Zhou, Jun (2007)
Surveys in Mathematics and its Applications
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Displaying similar documents to “Instantaneous shrinking of the support for solutions to certain parabolic equations and systems”
Non-simultaneous blow-up for a semilinear parabolic system with nonlinear memory.
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We study a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source, under homogeneous Neumann boundary conditions in a smooth bounded domain. By establishing proper a priori estimates we prove that, with both the diffusion function and the chemotaxis sensitivity function being positive, the corresponding initial boundary value problem admits a unique global classical solution which is uniformly bounded. The result of this paper is a generalization of that of...
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We study the global existence and long-time behavior of solutions for a class of semilinear degenerate parabolic equations in an arbitrary domain.
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