A functional analytic approach to uniqueness of solutions to some nonlinear Cauchy problems

DOI10.1016/0022-0396(85)90128-7zbMath0605.35002OpenAlexW1979682311MaRDI QIDQ1084257

Richard A. Graff

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90128-7

zbMATH Keywords

Banach spacesuniquenessstrict solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Equations involving nonlinear operators (general) (47J05) Nonlinear differential equations in abstract spaces (34G20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (1)

The existence of local semiflows for nonlinear differential equations in Banach spaces, and applications to partial differential equations

Cites Work

• The existence of local semiflows for nonlinear differential equations in Banach spaces, and applications to partial differential equations
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
• Equations of parabolic type in a Banach space
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