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2001, Volume 234  
| General information | Contents | Forward links |


A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities


Authors: E. Mitidieri, S. I. Pokhozhaev
Volume Editor: S. M. Nikol'skii
Editor in Chief: E. F. Mishchenko


Abstract: A general approach is proposed to a priori estimates for solutions to nonlinear partial differential equations and inequalities. Applications of these estimates to the problem of nonexistence of solutions are considered. The method is based on the concept of nonlinear capacity induced by a nonlinear differential operator. The contents of this volume are divided into three parts devoted to elliptic, parabolic, and hyperbolic nonlinear problems.
For specialists in nonlinear partial differential equations, mathematical physics, and applied mathematics, as well as for postgraduates and senior students of relevant specialities.

ISBN: 5-02-002502-X

Full text: Contents

Citation: E. Mitidieri, S. I. Pokhozhaev, A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities, Trudy Mat. Inst. Steklova, 234, ed. S. M. Nikol'skii, E. F. Mishchenko, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 384 pp.
Citation in format AMSBIB:
\Bibitem{1}
\by E.~Mitidieri, S.~I.~Pokhozhaev
\book A~priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 234
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\ed S.~M.~Nikol'skii, E.~F.~Mishchenko
\totalpages 384
\mathnet{http://mi.mathnet.ru/book247}

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    Additional information

    A general approach is proposed to a priori estimates for solutions to nonlinear partial differential equations and inequalities. Applications of these estimates to the problem of nonexistence of solutions are considered. The method is based on the concept of nonlinear capacity induced by a nonlinear differential operator. The contents of this volume are divided into three parts devoted to elliptic, parabolic, and hyperbolic nonlinear problems.

    For specialists in nonlinear partial differential equations, mathematical physics, and applied mathematics, as well as for postgraduates and senior students of relevant specialities.

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