Results 51 to 60 of about 1,087 (167)

Convergence analysis of option drift rate inverse problem based on degenerate parabolic equation

open access: yesResults in Applied Mathematics
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
doaj   +1 more source

Regularity of random attractors for stochastic semilinear degenerate parabolic equations

open access: yesElectronic Journal of Differential Equations, 2012
We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity ...
Cung The Anh   +2 more
doaj  

The cauchy problem of a degenerate parabolic equation

open access: yesMonatshefte f�r Mathematik, 1977
This note is concerned with the existence of a weak solution for a degenerate Cauchy problem of parabolic type in then-dimensional spaceRn. The degenerate property is in the sense that the matrix (aij(t,x)) involved in the differential operator is not necessarily positive definite.
openaire   +1 more source

Quasiconformal mappings and degenerate elliptic and parabolic equations

open access: yesLe Matematiche, 1987
In this paper two Harnak inequalities are proved concerning a degenerate elliptic and a degenerate parabolic equation. In both cases the weight giving the degeneracy is a power of the jacobian of a quasiconformal mapping.
Filippo Chiarenza   +1 more
doaj  

On a degenerate parabolic equation from double phase convection

open access: yesAdvances in Difference Equations, 2021
The initial-boundary value problem of a degenerate parabolic equation arising from double phase convection is considered. Let a ( x ) $a(x)$ and b ( x ) $b(x)$ be the diffusion coefficients corresponding to the double phase respectively.
Huashui Zhan
doaj   +1 more source

On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2009
By Oleinik′s line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in [0, T] × R2: ∂xxu + u∂yu − ∂tu = f(⋅, u), provided that T is suitable small. Results of numerical experiments are reported to demonstrate that the strong solutions of the above equation may blow up in ...
Zongqi Liang, Huashui Zhan
openaire   +3 more sources

Almost Periodicity and Degenerate Parabolic Equations

open access: yesRocky Mountain Journal of Mathematics, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On Tricomi Problem of Chaplygin’s Hodograph Equation

open access: yesAbstract and Applied Analysis, 2015
The existence and uniqueness results for the Tricomi problem of Chaplygin’s hodograph equation are shown, in the case that the domain considered is close to the parabolic degenerate line, by adopting the energy integral methods and choosing judiciously ...
Meng Xu, Li Liu, Hairong Yuan
doaj   +1 more source

Existence of solutions for a degenerate seawater intrusion problem

open access: yesElectronic Journal of Differential Equations, 2005
We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi   +1 more
doaj  

Fractal Dimension of a Random Invariant Set and Applications

open access: yesJournal of Applied Mathematics, 2013
We prove an abstract result on random invariant sets of finite fractal dimension. Then this result is applied to a stochastic semilinear degenerate parabolic equation and an upper bound is obtained for the random attractors of fractal dimension.
Gang Wang, Yanbin Tang
doaj   +1 more source

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