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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Static and evolution equations with degenerate curls
Journal of Differential EquationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Maximal time regularity for degenerate evolution integro-differential equations
Journal of Evolution Equations, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Favaron, FAVINI, ANGELO
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Stabilization of solutions of nonlinear and degenerate evolution equations
Nonlinear Analysis: Theory, Methods & Applications, 1985The 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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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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