An alternative approach to well-posedness of a class of differential inclusions in Hilbert spaces

DOI10.1016/j.na.2012.06.002zbMath1245.34066arXiv1502.05496OpenAlexW1999135534MaRDI QIDQ441184

Sascha Trostorff

Publication date: 20 August 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods, Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05496

zbMATH Keywords

maximal monotone operatorsdifferential inclusionswell-posednesscausalityboundary data spacesselfadjoint relations

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Evolution inclusions (34G25) Nonlinear evolution equations (47J35) Linear accretive operators, dissipative operators, etc. (47B44) Linear relations (multivalued linear operators) (47A06) Applications of functional analysis to differential and integral equations (46N20) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Initial-boundary value problems for systems of nonlinear first-order PDEs (35F61) Operator matrices (47A08)

Related Items (12)

Resolvent estimates in homogenisation of periodic problems of fractional elasticity ⋮ On abstract grad-div systems ⋮ Mixed-dimensional poromechanical models of fractured porous media ⋮ Well-posedness of non-autonomous evolutionary inclusions ⋮ A characterization of boundary conditions yielding maximal monotone operators ⋮ On a class of degenerate abstract parabolic problems and applications to some eddy current models ⋮ Dynamic first order wave systems with drift term on Riemannian manifolds ⋮ Semigroups and evolutionary equations ⋮ On non‐autonomous integro‐differential‐algebraic evolutionary problems ⋮ A solution theory for a general class of SPDEs ⋮ Well-posedness for a general class of differential inclusions ⋮ On integro‐differential inclusions with operator‐valued kernels

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