Results 261 to 270 of about 146,108 (290)

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 (
Nedjemeddine Derdar, Amar Debbouche
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Degenerate Self-adjoint Evolution Equations on the Unit Interval

Semigroup Forum, 1998
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CAMPITI, Michele, METAFUNE, Giorgio Gustavo Ermanno, PALLARA, Diego   +2 more
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Nonlinear Degenerate Evolution Equations in Mixed Formulation

SIAM Journal on Mathematical Analysis, 2010
We develop the theory of degenerate and nonlinear evolution systems in mixed formulation. It will be shown that many of the well-known results for the stationary problem extend to the nonlinear case and that the dynamics of a degenerate Cauchy problem is governed by a nonlinear semigroup.
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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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Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type

SIAM Journal on Mathematical Analysis, 1975
The Cauchy problem for the evolution equation $Mu'(t) + N(t,u(t)) = 0$ is studied, where M and $N(t, \cdot )$ are, respectively, possibly degenerate and nonlinear monotone operators from a vector space to its dual. Sufficient conditions for existence and for uniqueness of solutions are obtained by reducing the problem to an equivalent one in which M is
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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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Stabilization of solutions of nonlinear and degenerate evolution equations

Nonlinear Analysis: Theory, Methods & Applications, 1985
The present paper deals with the quasilinear parabolic problem \[ u_ t=\Delta \eta (u)+f(x,u)\quad in\quad \Omega \times R^+,\quad u(x,0)=u_ 0(x)\quad in\quad \Omega,\quad u=u_ 1\quad in\quad \partial \Omega \times R^+, \] where \(\eta\) is a continuous, strictly increasing function with \(\eta (0)=0\); degenerate diffusion at \(u=0\) (namely \(\eta ...
Langlais, Michel, Phillips, Daniel
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Static and evolution equations with degenerate curls

Journal of Differential Equations
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Approximate Controllability of Stochastic Degenerate Evolution Equations: Decomposition of a Hilbert Space

Differential Equations and Dynamical Systems, 2023
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