Perturbation quasi différentielle d'un semi-groupe régularisant dans une échelle d'espaces de Banach. (Quasi differential perturbation of a regularizing semigrop in a scale of Banach spaces)

DOI10.1016/S0294-1449(16)30365-1zbMath0654.47020OpenAlexW2280911355MaRDI QIDQ1108566

Jean Duchon, Raoul Robert

Publication date: 1987

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1987__4_4_377_0

zbMATH Keywords

evolution equationperturbationsscale of Banach spacesglobal existence and uniqueness resultmotion of the interface of two liquids in porous mediumnonlinear quasi differential operator

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Groups and semigroups of linear operators (47D03) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items

Capillary driven evolution of an interface between viscous fluids ⋮ Stable manifolds to bounded solutions in possibly ill-posed PDEs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur les ondes de surface de l'eau avec une justification mathématique des équations des ondes en eau peu profonde
• Finite time analyticity for the two and three dimensional Kelvin- Helmholtz instability
• Gravity waves on the free surface of an incompressible perfect fluid of finite depth
• A note on a theorem of Nirenberg
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• Finite Time Analyticity for the Two- and Three-Dimensional Rayleigh-Taylor Instability
• An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
• On a free boundary problem for an inviscid incompressible fluid
• Remarks on the abstract form of nonlinear cauchy-kovalevsky theorems
• An Abstract Nonlinear Cauchy-Kovalevska Theorem