A note on the symmetry group and perturbation algebra of a parabolic partial differential equation

DOI10.1063/1.529301zbMath0736.35140OpenAlexW2135026676WikidataQ115331476 ScholiaQ115331476MaRDI QIDQ3980874

M. Cohen de Lara

Publication date: 26 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529301

zbMATH Keywords

Riemannian manifoldLie algebrasymmetry groupperturbation algebra

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Partial differential equations of mathematical physics and other areas of application (35Q99) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Second-order parabolic equations (35K10)

Related Items (5)

Symmetries of stochastic differential equations using Girsanov transformations ⋮ Weak symmetries of stochastic differential equations driven by semimartingales with jumps ⋮ Reduction of the Zakai equation by invariance group techniques ⋮ On drift, diffusion and geometry ⋮ Some recent developments on Lie symmetry analysis of stochastic differential equations

Cites Work

• Perturbation algebra of an elliptic operator
• Linearity of the group of a parabolic equation
• Exact finite-dimensional filters for certain diffusions with nonlinear drift

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