\(L^1\) decay properties for a semilinear parabolic system.
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Publication:5939279
DOI10.1007/BF02784124zbMath1087.35509MaRDI QIDQ5939279
Publication date: 2001
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic systems (35K45)
Related Items (3)
The local theory for viscous Hamilton--Jacobi equations in Lebesgue spaces. ⋮ Different asymptotic behavior of global solutions for a parabolic system with nonlinear gradient terms ⋮ The Cauchy problem for a coupled semilinear parabolic system
Cites Work
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- Decay of mass for the equation \(u_t=\Delta u-a(x)u^p|\nabla u|^q\)
- The Cauchy problem for a coupled semilinear parabolic system
- Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
- Decay of mass for a semilinear parabolic equation
- Global existence and decay for viscous Hamilton-Jacobi equations
- Remarks on a Nonlinear Parabolic Equation
- Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire
- Global solutions to viscous hamilton-jacob1 equations with irregular initial data
- Global existence and blow-up for a class of semilinear parabolic systems: A Cauchy Problem
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