Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 178, pp. 1-24.

Title: Dynamical problems without initial conditions for
       elliptic-parabolic equations in spatial unbounded domains

Author: Mykola Bokalo (Ivan Franko National Univ., Lviv, Ukraine)

Abstract:  
 We consider a problem without initial conditions for degenerate
 nonlinear evolution equations with nonlinear dynamical boundary
 condition in spatial unbounded domains.
 We obtain sufficient conditions for the well-posedness
 of this problem without any restrictions at infinity.
 
Submitted October 28, 2010. Published December 22, 2010.
Math Subject Classifications: 34A09, 34G20, 35B15, 35K65, 47J35.
Key Words: Problems without initial conditions;
    degenerate implicit equations; nonlinear evolution equations.