Browsing by Author "Andreu, Fuensanta"

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  • Andreu, Fuensanta; Caselles, Vicente; Mazón, José (European Mathematical Society (EMS), 2002)
    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. A typical example of energy functional we ...
  • Andreu, Fuensanta; Caselles, Vicente; Díaz, Jesus Ildefonso; Mazón, José (Elsevier, 2002)
    We prove the existence of a finite extinction time for the solutions of the Dirichlet problem for the total variation flow. For the Neumann problem, we prove that the solutions reach the average of its initial datum in ...
  • Andreu, Fuensanta; Ballester, Coloma; Caselles, Vicente; Mazón, José (Elsevier, 2001)
    We introduce a new concept of solution for the Dirichlet problem for the total variational flow named entropy solution. Using Kruzhkov's method of doubling variables both in space and in time we prove uniqueness and a ...

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