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.
Facts
StatementAn integral relation satisfied by stationary localized solutions to a nonlinear Schrodinger equation or nonlinear Klein-Gordon equation. 1 Classification
Statement Form Connections
Has Statement Form
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Sources
1. Pokhozhaev's identity - Wikipedia
Introduction, sentence 1Quote, Introduction, sentence 1
Pokhozhaev's identity is an integral relation
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.