Displaying similar documents to “On a Fokker-Planck equation arising in population dynamics.”

Nonlinear nonlocal evolution problems.

N.-H. Chang, M. Chipot (2003)

RACSAM

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We consider a class of nonlinear parabolic problems where the coefficients are depending on a weighted integral of the solution. We address the issues of existence, uniqueness, stationary solutions and in some cases asymptotic behaviour.

Uniqueness of positive solutions of nonlinear second order systems.

Robert Dalmasso (1995)

Revista Matemática Iberoamericana

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In this paper we discuss the uniqueness of positive solutions of the nonlinear second order system -u'' = g(v), -v'' = f(u) in (-R,R), u(±R) = v(±R) = 0 where f and g satisfy some appropriate conditions. Our result applies, in particular, to g(v) = v, f(u) = u, p > 1, or f(u) = λu + au + ... + au, with p > 1, a > 0 for j = 1, ..., k and 0 ≤ λ < μ where μ = π/4R.

Parabolic equations involving 0 and 1 order terms with L data.

Thierry Goudon, Mazen Saad (2001)

Revista Matemática Iberoamericana

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This paper is devoted to general parabolic equations involving 0 and 1 order terms, in linear and nonlinear expressions, while the data only belong to L. Existence and entropic-uniqueness of solutions are proved.