Space-time means and solutions to a class of nonlinear parabolic equations

DOI10.1007/BF02901950zbMath0913.35062MaRDI QIDQ1267226

Bo-ling Guo, Chang Xing Miao

Publication date: 31 May 1999

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Banach fixed point principleadmissible triplespace-time meanslocal mild solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Initial value problems for second-order parabolic equations (35K15)

Related Items

The self-similar solution to some nonlinear integro-differential equations corresponding to fractional order time derivative

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• Semilinear evolution equations in Banach spaces
• Existence and non-existence of global solutions for a semilinear heat equation
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• Integrated semigroups and differential operators on \(L^ p\) spaces
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
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