Generalized solutions of nonlinear differential equation and the maslov algebras of distributions

DOI10.1080/10652469808819161zbMath0934.35089OpenAlexW1978814199WikidataQ115295833 ScholiaQ115295833MaRDI QIDQ3841119

Vladimir G. Danilov, Vladimir Shelkovich

Publication date: 13 April 2000

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469808819161

zbMATH Keywords

products of distributionshomogeneous and adjoint homogeneous distributions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Operations with distributions and generalized functions (46F10) Hyperbolic conservation laws (35L65)

Related Items (4)

Singular traveling wave solutions for Boussinesq equation with power law nonlinearity and dual dispersion ⋮ Positivity and positive definiteness in generalized function algebras ⋮ Interaction of solitons for sine-Gordon-type equations ⋮ Products of distributions and singular travelling waves as solutions of advection-reaction equations

Cites Work

• Unnamed Item
• Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients
• Multiplications of distributions in elasticity and hydrodynamics
• NIKOLAI ALEKSANDROVICH SHANIN (on his sixtieth birthday)
• Asymptotic soliton-form solutions of equations with small dispersion

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