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.
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| Mykola Bokalo |
Department of Differential Equations
Ivan Franko National University of Lviv
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