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On Some regularity properties for solutions of nonlinear parabolic differential equations

Published online by Cambridge University Press:  22 January 2016

Haruo Nagase
Haruo Nagase*
Affiliation:
Suzuka College of Thechnogy, 510-02 Suzuka, Japan
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Let G be a bounded domain in Rn with coordinates x = (x1,…,xn) and let its boundary S be of class C2. We assume that the usual function spaces Lq(G), Wl, q(G) and are known. We write the norm of Lq(G) by | |q and the adjoint number of q by q*, i.e., q* = q/(q —1).

For any positive number T we denote the open interval (0,T) by I, the cylinder G X I in Rn+1 by Q and the norm of Lq(Q) by ‖ ‖q.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 128 , December 1992 , pp. 49 - 63
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1992

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