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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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10.1007/s11172-006-0172-8

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1424-3202

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Maximal Emphasis Type="Italic"L/EmphasisSubsc

Authors: Matthias Kotschote
Publish Date: 2010/02/03
Volume: 10, Issue: 2, Pages: 293-318
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Abstract

We prove maximal L p regularity for a threephase problem consisting of strongly coupled parabolic–elliptic equations with inhomogeneous data This problem is related to a nonlinear problem which arises in chemically reacting systems incorporating electromigration Particular features are a transmission condition and a jump condition on the boundary which couple all unknowns By means of localization the problem is reduced to model problems in full and halfspace To solve model problems we make use of Dore–Venni Theory real interpolation and the Mikhlin multiplier theorem in the operatorvalued version Here it is crucial to find conditions on the data that are necessary and sufficient for maximal L p regularity of the respective solution

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Other Papers In This Journal:
  1. Parabolic boundary value problems connected with Newton’s polygon and some problems of crystallization
  2. The instationary Stokes equations in weighted Bessel-potential spaces
  3. On the sectoriality of a class of degenerate elliptic operators arising in population genetics
  4. Weak solutions for the fully hyperbolic phase-field system of conserved type
  5. Exponential stability of abstract evolution equations with time delay
  6. Asymptotical behaviour of a class of semilinear diffusion equations
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