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Una clase de espacios de sucesiones vectoriales.

Fuensanta Andreu — 1984

Collectanea Mathematica

A strongly degenerate quasilinear equation : the elliptic case

Fuensanta Andreu; Vicent Caselles; José Mazón — 2004

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We prove existence and uniqueness of entropy solutions for the Neumann problem for the quasilinear elliptic equation $u - div 𝐚 (u, D u) = v$ , where $v \in L^{1}$ , $𝐚 (z, ξ) = \nabla_{ξ} f (z, ξ)$ , and $f$ is a convex function of $ξ$ with linear growth as $∥ ξ ∥ \to \infty$ , satisfying other additional assumptions. In particular, this class includes the case where $f (z, ξ) = ϕ (z) ψ (ξ)$ , $ϕ > 0$ , $ψ$ being a convex function with linear growth as $∥ ξ ∥ \to \infty$ . In the second part of this work, using Crandall-Ligget’s iteration scheme, this result will permit us to prove existence and uniqueness of entropy solutions for the...

A parabolic quasilinear problem for linear growth functionals.

Fuensanta Andreu; Vincent Caselles; José María Mazón — 2002

Revista Matemática Iberoamericana

We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth.

Relation between the boundary point spectrum of a generator and of its adjoint.

Fuensanta Andreu Vaíllo; José Manuel Mazón Ruiz — 1990

Publicacions Matemàtiques

In this paper we get some relations between the boundary point spectrum of the generator A of a C-semigroup and the generator A* of the dual semigroup. This relations combined with the results due to Lyubich-Phong and Arendt-Batty, yield stability results on positive C-semigroups.

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