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math.AP2012★ 4 cited
Towards the KPP--Problem and log t-Front Shift for Higher-Order Nonlinear PDEs III. Dispersion and Hyperbolic Equations
Victor A. Galaktionov
It is shown that some aspects of classic KPP-theory of 1937 can be applied to a number of higher-order dispersion, hyperbolic, and other equations.
math.AP2012★ 3 cited
Towards the KPP-Problem and log t-Front shift for Higher-Order Nonlinear PDEs II. Quasilinear Bi- and Tri-Harmonic Equations
Victor A. Galaktionov
It is shows that some aspects of classic KPP-problem (1937) can be extended to some fourth and sixth-order quasilinear parabolic equations.
math.AP2012★ 10 cited
Towards the KPP--Problem and Log-Front Shift for Higher-Order Nonlinear PDEs I. Bi-Harmonic and Other Parabolic Equations
V. A. Galaktionov
Some extensions of the KPP idelogy of 1937 and more recent results to higher-order semilinear parabolic equations are discussed
math.AP2012
Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range II. Higher-order diffusion
V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev
Two families of sign-changing solutions of higher-order semilinear parabolic equations are studied.