Results 21 to 30 of about 119,303 (372)

On Degenerate Parabolic Equations [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
The paper deals with the existence of solutions of some generalized Stefan‐type equation in the framework of Orlicz spaces.
openaire   +2 more sources

Large time behavior for some nonlinear degenerate parabolic equations [PDF]

open access: yes, 2013
We study the asymptotic behavior of Lipschitz continuous solutions of nonlinear degenerate parabolic equations in the periodic setting. Our results apply to a large class of Hamilton-Jacobi-Bellman equations.
Ley, Olivier, Nguyen, Vinh Duc
core   +2 more sources

Identification problems for degenerate parabolic equations [PDF]

open access: yesApplications of Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Awawdeh, Fadi, Obiedat, Hamed M.
openaire   +1 more source

On some degenerate parabolic equations II [PDF]

open access: yesNagoya Mathematical Journal, 1973
In the article I: [8], we have proved the hypoellipticity of a degenerate parabolic equation of the form:where the coefficients a(x, t), b(x,t) and c(x, t) are complex valued smooth functions. The fundamental assumption on the coefficients is that Re a(x, t) satisfies the condition of Nirenberg and Treves ([8], (1.5)).
openaire   +6 more sources

Wellposedness of a nonlocal nonlinear diffusion equation of image processing [PDF]

open access: yes, 2016
Existence and uniqueness are established for a degenerate regularization of the well-known Perona-Malik equation proposed by the first author for non-smooth initial data.
Guidotti, Patrick, Shao, Yuanzhen
core   +2 more sources

Null controllability of strongly degenerate parabolic equations                                                          

open access: yesE S A I M: Control, Optimisation and Calculus of Variations, 2023
We consider linear one-dimensional strongly degenerate parabolic equations with measurable coefficients that may be degenerate or singular. Taking 0 as the point where the strong degeneracy occurs, we assume that the coefficient a = a(x) in the principal
L. Rosier, Antoine Benoit, R. Loyer
semanticscholar   +1 more source

On the Weak Characteristic Function Method for a Degenerate Parabolic Equation

open access: yesJournal of Function Spaces, 2019
For a nonlinear degenerate parabolic equation, how to impose a suitable boundary value condition to ensure the well-posedness of weak solutions is a very important problem.
Huashui Zhan
doaj   +1 more source

Degenerate parabolic equations appearing in atmospheric dispersion of pollutants

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
doaj   +1 more source

Convergence for Degenerate Parabolic Equations

open access: yesJournal of Differential Equations, 1999
The authors consider degenerate parabolic problems of the form \[ \begin{aligned} u_t-\varphi \bigl(u(x,t) \bigr)_{xx}= f\bigl(u(x,t) \bigr),\quad & x\in (-L,L),\;t>0,\\ u(-L,t)= u(L,t)=0, \quad & t>0,\\ u(x,0)= u_0(t)\geq 0,\quad & x\in (-L,L), \end{aligned} \] where \(\varphi\) and \(f\) are sufficiently regular functions satisfying \(\varphi(0)=0\),
Feireisl, Eduard, Simondon, Frédérique
openaire   +2 more sources

Determination of the right-hand side term in the degenerate parabolic equation with two variables

open access: yesJournal of Physics: Conference Series, 2019
We find two type conditions sufficient for unique solvability of inverse problem of source determination in degenerate parabolic equation with two independent variables.
V. Kamynin, A. Kostin
semanticscholar   +1 more source

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