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S. Sobolev (2006)
On a New Problem of Mathematical Physics
A.I. Aristov (2010)
Sb. statei molodykh uchenykh fak-ta VMiK MGU
(2010)
Investigation of Qualitative Properties of Solutions of a Certain Nonlinear Equation of the Sobolev Type
(2008)
Nelineinyi funktsional’nyi analiz i ego prilozheniya k uravneniyam v chastnykh proizvodnykh (Nonlinear Functional Analysis and Its Application to Partial Differential Equations)
(2010)
Estimates for the Lifespan of Solutions of an Initial–Boundary Value Problem for a Nonlinear Sobolev Equation, in Nauch
We consider an initial-boundary value problem for a nonlinear equation of Sobolev type with variable coefficient multiplying the power-law nonlinearity. We obtain sufficient conditions for both time-global and time-local solvability. In the case of local (but not global) solvability, we find two-sided estimates for the lifespan of the solution in the form of quadrature formulas and indicate special cases in which a closed form of these estimates is possible.
Differential Equations – Springer Journals
Published: Jul 15, 2012
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