On the Boundary Value Problem for p-parabolic Equations

Ivert, Per-Anders

doi:10.1007/978-3-7643-8755-6_11

Per-Anders Ivert⁴²

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 186))

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Abstract

We derive a fundamental existence theorem for the equation

$$ u'_t (x,t) - div(|\nabla _x u|^{p - 2} \nabla _x u) = 0 $$

with continous initial and boundary data in a space-time cylinder.

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Authors and Affiliations

Centre for Mathematical Sciences, Lund University, S-221 00, Lund, Sweden
Per-Anders Ivert

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Per-Anders Ivert
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Editors and Affiliations

Institut of Mathematics, Polish Academy of Sciences, ul. Sw. Tomasza 30/7, 31-027, Krakow, Poland
Jan Janas
Department of Mathematics, Lund Institute of Technology, 221 00, Lund, Sweden
Pavel Kurasov
Department of Mathematical Physics, St. Petersburg State University, Ulyanovskaya 1, 198904, St. Petersburg, Russia
Sergei Naboko
Department of Mathematics South Kensington Campus, Imperial College London, SW7 2AZ, London, UK
Ari Laptev
Department of Mathematics, Royal Institute of Technology, 100 44, Stockholm, Sweden
Ari Laptev
Department of Mathematics, University of Alabama, 452 Campbell Hall, Birmingham, AL, 35294-1170, USA
Günter Stolz

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Ivert, PA. (2008). On the Boundary Value Problem for p-parabolic Equations. In: Janas, J., Kurasov, P., Naboko, S., Laptev, A., Stolz, G. (eds) Methods of Spectral Analysis in Mathematical Physics. Operator Theory: Advances and Applications, vol 186. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8755-6_11

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DOI: https://doi.org/10.1007/978-3-7643-8755-6_11
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8754-9
Online ISBN: 978-3-7643-8755-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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