Theorems in mathematical physics | Mathematical identities

Pokhozhaev's identity

Pokhozhaev's identity is an integral relation satisfied by stationary localized solutions to a nonlinear Schrödinger equation or nonlinear Klein–Gordon equation. It was obtained by S.I. Pokhozhaev and is similar to the virial theorem. This relation is also known as D.H. Derrick's theorem. Similar identities can be derived for other equations of mathematical physics. (Wikipedia).

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Related pages

Spinor | Derrick's theorem | Soliton | Dirac operator | Distribution (mathematics) | Self-adjoint | Nonlinear Dirac equation | Nonlinear Schrödinger equation