Let Omega be a bounded smooth domain in R^3. Under Robin boundary data, the nonlinear reaction diffusion equation u_t=∆F(u)+f(x,u,∇u), (x, t) in Omega x R^+, is studied. Existence, uniqueness, stability and longtime behaviour of solutions are analyzed. An application to the dynamic of a population inhabiting a strongly heterogeneous environment is considered.

On the dynamic of the nonlinear reaction diffusion equation u_t=∆F(u)+f(x,u,∇u) under Robin boundary data / Rionero, S.; Vitiello, M.. - In: RENDICONTO DELL'ACCADEMIA DELLE SCIENZE FISICHE E MATEMATICHE. - ISSN 0370-3568. - STAMPA. - 76:4(2009), pp. 195-208.

On the dynamic of the nonlinear reaction diffusion equation u_t=∆F(u)+f(x,u,∇u) under Robin boundary data

Vitiello, M.
2009-01-01

Abstract

Let Omega be a bounded smooth domain in R^3. Under Robin boundary data, the nonlinear reaction diffusion equation u_t=∆F(u)+f(x,u,∇u), (x, t) in Omega x R^+, is studied. Existence, uniqueness, stability and longtime behaviour of solutions are analyzed. An application to the dynamic of a population inhabiting a strongly heterogeneous environment is considered.
2009
On the dynamic of the nonlinear reaction diffusion equation u_t=∆F(u)+f(x,u,∇u) under Robin boundary data / Rionero, S.; Vitiello, M.. - In: RENDICONTO DELL'ACCADEMIA DELLE SCIENZE FISICHE E MATEMATICHE. - ISSN 0370-3568. - STAMPA. - 76:4(2009), pp. 195-208.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/5292
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