3 papers
math.AP2009
On nonexistence of Baras--Goldstein type for higher-order parabolic equations with singular potentials
V. A. Galaktionov, I. V. Kamotski
An analogy of nonexistence result by Baras and Goldstein (1984), for the heat equation with inverse singular potential, is proved for 2mth-order linear parabolic equations with Har…
math.SP2007
Homogenization of spectral problems in bounded domains with doubly high contrasts
Natalia O. Babych, Ilia V. Kamotski, Valery P. Smyshlyaev
Homogenization of a spectral problem in a bounded domain with a high contrast in both stiffness and density is considered. For a special critical scaling, two-scale asymptotic expa…
math.AP2004
Regularity properties, representation of solutions and spectral asymptotics of systems with multiplicities
Ilia Kamotski, Michael Ruzhansky
Properties of solutions of generic hyperbolic systems with multiple characteristics with diagonalizable principal part are investigated. Solutions are represented as a Picard serie…