Global Sign-changing Solutions of a Higher Order Semilinear Heat Equation in the Subcritical Fujita Range

DOI10.1515/ANS-2012-0308zbMath1388.35076OpenAlexW946625499MaRDI QIDQ4898270

Stanislav I. Pohozhaev, Enzo Mitidieri, Victor A. Galaktionov

Publication date: 30 December 2012

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2012-0308

Mathematics Subject Classification ID

Variational inequalities (49J40) Parabolic equations and parabolic systems (35Kxx)

Related Items (6)

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Cites Work

• Critical global asymptotics in higher-order semilinear parabolic equations
• Solution curves and exact multiplicity results for 2\(m\)th order boundary value problems
• Generic hyperbolicity of equilibria and periodic orbits of the parabolic equation on the circle
• Variational problems related to self-similar solutions of the heat equation
• SINGULARITIES OF THE KERNELS OF FOURIER INTEGRAL OPERATORS AND THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTION OF THE MIXED PROBLEM
• Non-uniqueness and global similarity solutions for a higher-order semilinear parabolic equation
• On very singular similarity solutions of a higher-order semilinear parabolic equation
• Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations

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