Pokhozhaev's identity is an integral relation satisfied by stationary, spatially localized solutions of the nonlinear Schrodinger equation or the nonlinear Klein-Gordon equation. It was obtained by Stanislav Pokhozhaev and plays a role similar to classical mechanics' virial theorem, constraining a solution's possible form by relating different terms of the equation's own governing energy functional. The same relation is also known as Derrick's theorem, after G. H. Derrick, and comparable identities can be derived for other equations of mathematical physics.
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StatementAn integral relation satisfied by stationary localized solutions to a nonlinear Schrodinger equation or nonlinear Klein-Gordon equation. 1 Classification
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Source Pokhozhaev's identity - Wikipedia
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1. Pokhozhaev's identity - Wikipedia
Introduction, sentence 1
Pokhozhaev's identity is an integral relation
In Branch: Differential Equations, Lead
integral relation satisfied by stationary localized solutions to a nonlinear Schrödinger equation or nonlinear Klein-Gordon equation
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