Year: 1998
Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 4 : pp. 301–312
Abstract
In this present paper we establish space-time estimates of solutions for linear parabolic type equations based on classical multipliers theory or operator semigroup theory. According to space-time estimates we first construct suitable work space L^q(0, T; L^P), moreover we study the Cauchy problem and initial boundary value problem for semilinear parabolic equation in L^q(0, T; L^P) type space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1998-JPDE-5572
Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 4 : pp. 301–312
Published online: 1998-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Multipliers