A 2-D free boundary problem with onset of a phase and by Guidotti P. PDF

By Guidotti P.

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A distinction need to be made between the two cases δ = 0 and δ > 0. 7) generically cross in finite time. It is not clear if any benefit could come from the coupling to singular BVPs. In the second case it is possible to continue the solution to its maximal existence interval with the same technique used in the above existence proof. The question of global existence remains open. 2. The results concerning singular BVPs of Section 2 can be generalized to higher dimensions if the domain degeneration only occurs in one direction.

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Singular quasilinear abstract Cauchy problems, Nonlin. Anal. TMA, 32 (1998), 667–695. Guidotti, P. and Pelesko, J. , Transient Instability in Case II Diffusion, Journal of Polymer Science, Part B: Polymer Physics, 36 (1998), 2941–2947. , Partial Differential Equations, Springer, New York, 1982. , Analytic Semigroups and Optimal Regularity in Parabolic Problems, Birkh¨auser, Basel, 1995. , Th´eorie des Distributions, Hermann, Paris, 1966.

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