We prove "global" classical solvability and a uniqueness theorem for a wide class of one dimensional free boundary problems in which the evolution of the free boundary s(t) is controlled by the derivatives up to the second order of u (u together with s(t) is an unknown of our problem) and by a functional of s(t) itself. In the Introduction it is showed the physical background from which such problems arise. © 1995 Birkhäuser Verlag.
Global existence of a classical solution for a large class of free boundary problems in one space dimension / GIANNI, ROBERTO. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 2:(1995), pp. 291-321. [10.1007/BF01261178]
Global existence of a classical solution for a large class of free boundary problems in one space dimension
GIANNI, ROBERTO
1995
Abstract
We prove "global" classical solvability and a uniqueness theorem for a wide class of one dimensional free boundary problems in which the evolution of the free boundary s(t) is controlled by the derivatives up to the second order of u (u together with s(t) is an unknown of our problem) and by a functional of s(t) itself. In the Introduction it is showed the physical background from which such problems arise. © 1995 Birkhäuser Verlag.File | Dimensione | Formato | |
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