On Some regularity properties for solutions of nonlinear parabolic differential equations
Keyword(s):
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.
1996 ◽
Vol 70
(1)
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pp. 15-32
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1980 ◽
Vol 22
(1)
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pp. 1-6
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1978 ◽
Vol 70
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pp. 111-123
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1994 ◽
Vol 25
(6)
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pp. 1577-1594
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2002 ◽
Vol 8
(2)
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pp. 451-468
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1982 ◽
Vol 24
(6)
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pp. 1-6