Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil | Zendy

Côme Goudjo | Zendy; Babacar Lèye | Zendy; Mamadou Sy | Zendy

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Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil

Author(s) -

Côme Goudjo,

Babacar Lèye,

Mamadou Sy

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/831436

Subject(s) - uniqueness , mathematics , bounded function , nonlinear system , domain (mathematical analysis) , homogeneous , mathematical analysis , neumann boundary condition , reaction–diffusion system , boundary (topology) , diffusion , parabolic partial differential equation , partial differential equation , physics , thermodynamics , combinatorics , quantum mechanics

We study a nonlinear parabolic system governing the biological dynamic in the soil. We prove global existence (in time) and uniqueness of weak and positive solution for this reaction-diffusion semilinear system in a bounded domain, completed with homogeneous Neumann boundary conditions and positive initial conditions

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