$u_t = u_{xx} - F\left( {u_x } \right)$ and the difierentiability of the nonlinear semi-group associated with it

DOI10.3792/pja/1195519664zbMath0253.35052OpenAlexW2020522994MaRDI QIDQ5666936

Yoshio Konishi

Publication date: 1972

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195519664

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear parabolic equations (35K55) Equations involving nonlinear operators (general) (47J05)

Related Items (4)

Differential equations in a Banach space ⋮ Differential and analytical properties of semigroups of operators ⋮ A Generalized Domain for Semigroup Generators ⋮ On approximation by semigroups of nonlinear contractions. I

Cites Work

• On contraction semi-groups and (di)-operators
• Nonlinear semigroups in Hilbert space
• Nonlinear semigroups and evolution equations
• On the generators of non-negative contraction semi-groups in Banach lattices
• The semigroup approach to first order quasilinear equations in several space variables
• A Generalized Domain for Semigroup Generators
• On holomorphic Markov processes
• A note on the generation of nonlinear semigroups in a locally convex space
• Nonlinear semi-groups in Banach lattices
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
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