[PDF][PDF] Unique solvability of initial-boundary-value problems for anisotropic elliptic-parabolic equations with variable exponents of nonlinearity

MM Bokalo, OM Buhrii, RA Mashiyev - J. Nonl. Evol. Equ. Appl, 2014 - jneea.com
J. Nonl. Evol. Equ. Appl, 2014jneea.com
Existence and uniqueness of weak solutions of initial-boundary-value problems for second
order elliptic-parabolic equations are proved. These equations have the exponents of
nonlinearity depending on the points of domain and the direction of differentiation. The weak
solutions belong to some generalized Sobolev spaces.
Abstract
Existence and uniqueness of weak solutions of initial-boundary-value problems for second order elliptic-parabolic equations are proved. These equations have the exponents of nonlinearity depending on the points of domain and the direction of differentiation. The weak solutions belong to some generalized Sobolev spaces.
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