A Note on Boundary Regularity for Certain Degenerate Parabolic Equations

DiBenedetto, E.; Manfredi, J.; Vespri, V.

doi:10.1007/978-1-4612-0393-3_13

A Note on Boundary Regularity for Certain Degenerate Parabolic Equations

E. DiBenedetto⁶,
J. Manfredi⁷ &
V. Vespri⁸

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 7))

Abstract

Let Ω be an open set in R ^N, N ≥ 1 of boundary ∂Ω, and for 0 < T < ∞, set Ω_T ≡ Ω x (0, T]. Let be a weak solution of the problem Here r≥1 and p>1 are subject to the condition and Δu denotes the gradient of u with respect to the space variables only.

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References

Y.Z. Chen, E. Dibenedetto, Boundary regularity for non-linear degenerate parabolic systems, Jour, fur die Reine und Agnew. Math. 395(1989), pp. 102–131.
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Authors and Affiliations

Dept. Math., Northwestern Univ., Evanston, IL, 60208, USA
E. DiBenedetto
Dept. Math.& Statistics, Northwestern Univ., Pittsburgh, PA, 15260
J. Manfredi
Dept. Math., Univ. of Pittsburgh, Evanston, IL, 60208
V. Vespri

Authors

E. DiBenedetto
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J. Manfredi
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V. Vespri
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Editors and Affiliations

Department of Mathematics, University College of Wales, Aberystwyth, DYFED SY3BZ, UK
N. G. Lloyd
School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA
W. M. Ni & J. Serrin &
Mathematical Institute, Leiden University, PB 9512, 2300 RA, Leiden, The Netherlands
L. A. Peletier

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DiBenedetto, E., Manfredi, J., Vespri, V. (1992). A Note on Boundary Regularity for Certain Degenerate Parabolic Equations. In: Lloyd, N.G., Ni, W.M., Peletier, L.A., Serrin, J. (eds) Nonlinear Diffusion Equations and Their Equilibrium States, 3. Progress in Nonlinear Differential Equations and Their Applications, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0393-3_13

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DOI: https://doi.org/10.1007/978-1-4612-0393-3_13
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6741-6
Online ISBN: 978-1-4612-0393-3
eBook Packages: Springer Book Archive

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