Elena I. Kaikina
We study nonlinear pseudoparabolic equations, on the half-line in a critical case,
where , . The aim of this paper is to prove the existence of global solutions to the initial-boundary value problem and to find the main term of the asymptotic representation of solutions.
Submitted March 22, 2007. Published August 7, 2007.
Math Subject Classifications: 35Q35
Key Words: Dissipative nonlinear evolution equation; Sobolev equation; large time asymptotic behavior.
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| Elena I. Kaikina |
Instituto de Matemáticas
Universidad Nacional Aut&ocute;noma de México
Campus Morelia, AP 61-3 (Xangari)
Morelia CP 58089, Michoacán, Mexico
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