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Space and time regularity for degenerate evolution equations

Space and time regularity for degenerate evolution equations
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A certain degenerate evolution equation of the subdifferential type

A certain degenerate evolution equation of the subdifferential type
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Perturbation and degeneration of evolutional equations in Banach spaces

Perturbation and degeneration of evolutional equations in Banach spaces
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Implicit Degenerate Evolution Equations and Applications

SIAM Journal on Mathematical Analysis, 1981
The initial-value problem is studied for evolution equations in Hilbert space of the general form d se(u)+N(u) l:, dt where and are maximal monotone operators. Existence of a solution is proved when1 is a subgradient and either is strongly monotone or 9 is coercive; existence is established also in the case where 1 is strongly monotone and is ...
DiBenedetto, Emmanuele, Showalter, R. E.
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Nonlinear Degenerate Fractional Evolution Equations with Nonlocal Conditions

Fundamenta Informaticae, 2017
We investigate the unique solvability of a class of nonlinear nonlocal differential equations associated with degenerate linear operator at the fractional Caputo derivative. For the main results, we use the theory of fractional calculus and (L, p)-boundedness technique that based on the analysis of both strongly (L, p)-sectorial operators and strongly (
Derdar, Nedjemeddine, Debbouche, Amar
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Evolution equations for nonlinear degenerate parabolic PDE

Nonlinear Analysis: Theory, Methods & Applications, 2006
The authors study the following initial boundary value problem \[ \begin{aligned} & u_t - \Delta v = f(x,t),\quad v \in \beta(u), \quad \text{in } (0,T)\times\Omega, \\ & v = g(x),\quad \text{on } (0,T)\times\partial\Omega,\\ & u(0,x) = u_0(x),\quad \text{in } \Omega. \end{aligned} \] Here, \(\Omega\) is a bounded domain in \(\mathbb R^N\) (\(N\geq 1\))
Kubo, Masahiro, Lu, Quqin
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Multivalued linear operators and degenerate evolution equations

Annali di Matematica Pura ed Applicata, 1993
Degenerate linear evolution equations of the form \(d(M(t)v)/dt+ L(t)v= f(t)\) or of the form \(M(t)dv/dt+ L(t)v= M(t) f(t)\) are investigated by reducing to the nondegenerate equation \(du/dt+ A(t)u\ni f(t)\), where \(A(t)= L(t) M(t)^{-1}\) (resp. \(M(t)^{-1} L(t))\) is linear but multivalued.
Favini, Angelo, Yagi, Atsushi
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Nonlinear Evolution Equations for Degenerate Plates

2019
The analysis of the stability is performed for a structure of degenerate plate-type, more suitable to describe the behavior of real bridges. Both the cases of rigid and extensible hangers are taken into account, determining again the optimal position of the piers in terms of linear and nonlinear stability, with particular emphasis on the torsional ...
Maurizio Garrione, Filippo Gazzola
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Identification Problem for Degenerate Evolution Equations of Fractional Order

Fractional Calculus and Applied Analysis, 2017
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Fedorov, Vladimir E., Ivanova, Natalia D.   +1 more
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