Differentiability of a nonlinear semigroup in \(L^1\)

DOI10.1016/0022-247X(77)90009-9zbMath0363.47032OpenAlexW2085649838MaRDI QIDQ1240414

K. Appert

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(77)90009-9

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) General theory of partial differential operators (47F05) Nonlinear operators and their properties (47H99)

Related Items (12)

Differential equations in a Banach space ⋮ The porous medium equation with nonlinear absorption and moving boundaries ⋮ Asymptotic behavior of the plasma equation with homogeneous dirichlet boundary condition and non-negative initial data ⋮ Asymptotic behavior of a plasma type equation with finite extinction ⋮ Long-time vanishing properties of solutions of some semilinear parabolic equations ⋮ A diffusion problem with a measure as initial datum ⋮ Solutions with compact support for some degenerate parabolic problems ⋮ Effets régularisants de semi-groupes non linéaires dans des espaces de Banach ⋮ Existence for an evolution equation with a nonmonotone continuous nonlinearity ⋮ Un theoreme d'unicite pour des inequations variationnelles paraboliques degenerees ⋮ Stabilization of solutions of a degenerate nonlinear diffusion problem ⋮ The fluid dynamical limit of the Carleman equation with reflecting boundary

Cites Work

• Some remarks on semi-groups of nonlinear operators
• Convergence and approximation of semigroups of nonlinear operators in Banach spaces
• On the nonlinear semi-groups associated with \(u_t=\Delta \beta (u)\) and \(\varphi(u_t)=\Delta u\)
• Regularity Propeties of Flows Through Porous Media
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
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