Boundary controllability for a 1D degenerate parabolic equation with a Robin boundary condition [PDF]
Leandro Galo-Mendoza +1 more
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We study a class of second-order degenerate parabolic equations in divergent form. We prove two analogues of the Harnack inequality, one for non-negative weak solutions, an another for non-negative solutions.
Sarvan T. Huseynov
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UNIFORM BMO ESTIMATE OF PARABOLIC EQUATIONS AND GLOBAL WELL-POSEDNESS OF THE THERMISTOR PROBLEM
We prove global well-posedness of the time-dependent degenerate thermistor problem by establishing a uniform-in-time bounded mean ocsillation (BMO) estimate of inhomogeneous parabolic equations.
BUYANG LI, CHAOXIA YANG
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A multiplicity result for a class of quasilinear elliptic and parabolic problems
We prove the existence of infinitely many solutions for a class of quasilinear elliptic and parabolic equations, subject respectively to Dirichlet and Dirichlet-periodic boundary conditions.
M. R. Grossinho, Pierpaolo Omari
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Hölder gradient estimates for a class of singular or degenerate parabolic equations
We prove interior Hölder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic ...
Imbert Cyril +2 more
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Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem [PDF]
Bin Wu +5 more
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A Boundary Value Problem for a Class of Anisotropic Stochastic Degenerate Parabolic-Hyperbolic Equations [PDF]
Hermano Frid +4 more
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Continuity estimates for doubly degenerate parabolic equations with lower order terms via nonlinear potentials [PDF]
Qifan Li
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Null controllability of semilinear degenerate parabolic equations in bounded domains
In this paper we study controllability properties for semilinear degenerate parabolic equations with nonlinearities involving the first derivative in a bounded domain of R. Due to degeneracy, classical null controllability results do not hold in general.
Piermarco Cannarsa, Genni Fragnelli
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Convergence analysis of option drift rate inverse problem based on degenerate parabolic equation
In this paper, we study the convergence of the inverse drift rate problem of option pricing based on degenerate parabolic equations, aiming to recover the stock price drift rate function by known option market prices.
Miao-miao Song +3 more
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