Non-autonomous parabolic problems with singular initial data in weighted spaces
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Publication:691276
DOI10.1216/RMJ-2012-42-4-1215zbMath1270.35271MaRDI QIDQ691276
Publication date: 30 November 2012
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1348752084
Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09)
Related Items (2)
Random attractors for stochastic parabolic equations with additive noise in weighted spaces ⋮ Dynamics of non-autonomous parabolic problems with subcritical and critical nonlinearities
Cites Work
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- The heat equation with singular nonlinearity and singular initial data
- On the asymptotic behavior of solutions of certain quasilinear parabolic equations
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Semilinear evolution equations in Banach spaces
- Parabolic problems with nonlinear boundary conditions and critical nonlinearities
- Initial blow-up rates and universal bounds for nonlinear heat equations.
- A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces
- A nonlinear heat equation with singular initial data
- Singular Behavior in Nonlinear Parabolic Equations
- Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
- Linear and nonlinear heat equations in \(L^q_\delta\) spaces and universal bounds for global solutions
- Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems
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