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math.AP2010
Conformal Killing vector fields and Rellich type identities on Riemannian Manifolds, II
Yuri Bozhkov, Enzo Mitidieri
We propose a general Noetherian approach to Rellich integral identities. Using this method we obtain a higher order Rellich type identity involving the polyharmonic operator on Rie…
math.AP2009★ 16 cited
Variational approach to complicated similarity solutions pf higher-order nonlinear PDEs. I
V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev
Three classes of higher-order nonlinear parabolic hyperbolic, and nonlinear dispersion equations are shown to admit exact blow-up or compacton solutions, which are induced by ellip…
math.AP2009★ 2 cited
On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations
V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev
The initial boundary-value problem (IBVP) and the Cauchy problem for the Kuramoto--Sivashinsky equation and other related th-order semilinear parabolic partial differential equ…