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Title of Journal: J evol equ

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Abbravation: Journal of Evolution Equations

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SP Birkhäuser Verlag Basel

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DOI

10.1002/sia.740160178

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1424-3202

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Parabolic boundary value problems connected with N

Authors: R Denk LR Volevich
Publish Date: 2008/08/04
Volume: 8, Issue: 3, Pages: 523-556
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Abstract

A new class of boundary value problems for parabolic operators is introduced which is based on the Newton polygon method We show unique solvability and a priori estimates in corresponding L 2Sobolev spaces As an application we discuss some linearized free boundary problems arising in crystallization theory which do not satisfy the classical parabolicity condition It is shown that these belong to the new class of parabolic boundary value problems and twosided estimates for their solutions are obtained

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Other Papers In This Journal:
  1. The instationary Stokes equations in weighted Bessel-potential spaces
  2. On the sectoriality of a class of degenerate elliptic operators arising in population genetics
  3. Weak solutions for the fully hyperbolic phase-field system of conserved type
  4. Exponential stability of abstract evolution equations with time delay
  5. Maximal L p -regularity for a linear three-phase problem of parabolic–elliptic type
  6. Asymptotical behaviour of a class of semilinear diffusion equations
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