On Nonlinear Evolution Operators Associated with Some Nonlinear Dispersive Equations

DOI10.2307/2046096zbMath0596.58012OpenAlexW4230609813MaRDI QIDQ3729706

Tadayasu Takahashi, Shinnosuke Oharu

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046096

zbMATH Keywords

weak solutionnonlinear evolution operatorsinitial-boundary value problem for a nonlinear dispersive system

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

Related Items (1)

On the class of nonlinear evolution operators in Banach space

Cites Work

• Nonlinear evolution operators in Banach spaces
• An initial- and boundary-value problem for a model equation for propagation of long waves
• Nonlinear evolution equations in an arbitrary Banach space
• Weak solutions for a nonlinear dispersive equation
• Nonlinear evolution equations governed by f-quasi-dissipative operators
• Sobolev equations for nonlinear dispersive systems^†
• Model equations for long waves in nonlinear dispersive systems
• Nonlinear evolution equations in Banach spaces
• Unnamed Item
• Unnamed Item

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