Results 261 to 270 of about 145,745 (278)
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Evolution equations for nonlinear degenerate parabolic PDE
Nonlinear Analysis: Theory, Methods & Applications, 2006The 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, 1993Degenerate 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
2019The 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, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fedorov, Vladimir E. +1 more
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Degenerate Self-adjoint Evolution Equations on the Unit Interval
Semigroup Forum, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CAMPITI, Michele +2 more
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Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type
SIAM Journal on Mathematical Analysis, 1975The 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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Nonlinear Degenerate Evolution Equations in Mixed Formulation
SIAM Journal on Mathematical Analysis, 2010We 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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Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation
Multiscale Modeling & Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shibin Dai, Toai Luong, Xiang Ma
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Strong Solutions to Nonlinear Degenerate Fractional Order Evolution Equations
Journal of Mathematical Sciences, 2018Summary: We obtain conditions for the existence and uniqueness of a strong solution to the initial value problem for a degenerate evolution equation that is not solvable with respect to the fractional order derivative. The obtained results are used to study the initial-boundary value problem governing the fractional model of a viscoelastic Kelvin-Voigt
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Analyticity for some degenerate one-dimensional evolution equations
Studia Mathematica, 1998The author considers degenerate second order differential operators of the form \[ A_1= m(x) \bigl[(x- \alpha) (\beta-x) D^2+b(x) D\bigr],\;D(A_1) \subset C\bigl( [\alpha, \beta] \bigr) \cap C^2\bigl( ]\alpha, \beta [\bigr), \] and \[ A_2= m(x) \left[D^2 +{b(x) \over(x-\alpha) (\beta-x)} D\right], \quad D(A_2) \subset C\bigl( [\alpha, \beta] \bigr)\cap
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