@Article{JPDE-11-4,
author = {},
title = {Space-time Estimates for Parabolic Type Operator and Application to Nonlinear Parabolic Equations},
journal = {Journal of Partial Differential Equations},
year = {1998},
volume = {11},
number = {4},
pages = {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.},
issn = {2079-732X},
doi = {https://doi.org/1998-JPDE-5572},
url = {https://global-sci.com/article/88820/space-time-estimates-for-parabolic-type-operator-and-application-to-nonlinear-parabolic-equations}
}