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Steklov Mathematical Institute Seminar
June 21, 2001, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


A priori estimates and the absence of solutions of non-linear partial differential equations and inequalities

S. I. Pokhozhaev

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Abstract: The solubility of non-linear problems is treated from the point of view of global analysis. Necessary (best possible) conditions for the existence of global solutions are established on the basis of the concept of non-linear capacity. Non-linear elliptic, parabolic, and hyperbolic equations and inequalities are considered as applications.

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