Results 11 to 20 of about 1,356,954 (292)

Convergence of Inverse Volatility Problem Based on Degenerate Parabolic Equation

open access: yesMathematics, 2022
Based on the theoretical framework of the Black–Scholes model, the convergence of the inverse volatility problem based on the degenerate parabolic equation is studied.
Yilihamujiang Yimamu, Zuicha Deng
doaj   +2 more sources

Null controllability of degenerate parabolic equation with memory [PDF]

open access: yesMathematical Methods in the Applied Sciences, 2021
In this paper, we analyze the null controllability property for a degenerate parabolic equation involving memory terms with a locally distributed control. We first derive a null controllability result for a nonhomogeneous degenerate heat equation via new
Fragnelli, Genni   +3 more
core   +7 more sources

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   +2 more sources

Pullback Attractors for a Nonautonomous Retarded Degenerate Parabolic Equation

open access: yesDiscrete Dynamics in Nature and Society, 2020
This paper is devoted to a nonautonomous retarded degenerate parabolic equation. We first show the existence and uniqueness of a weak solution for the equation by using the standard Galerkin method.
Fahe Miao, Hui Liu, Jie Xin
doaj   +2 more sources

Helix Alignment, Chevrons, and Edge Dislocations in Twist-Bend Ferroelectric Nematics. [PDF]

open access: yesAdv Sci (Weinh)
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Basnet B   +8 more
europepmc   +2 more sources

Ab Initio Thermoelectric Transport Calculations of Alloyed Half-Heuslers. [PDF]

open access: yesAdv Sci (Weinh)
The effect of alloying on the electronic transport of half‐Heusler thermoelectric materials is explored using a fully ab initio approach. A novel method is developed that combines calculations of alloyed supercells with Boltzmann transport, considering the full energy and momentum dependent scattering processes from first principles extracted ...
Kumar A, Sahni B, Neophytou N.
europepmc   +2 more sources

On the Cauchy problem for a degenerate parabolic differential equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
The aim of this work is to prove the existence and the uniqueness of the solution of a degenerate parabolic equation. This is done using H. Tanabe and P.E. Sobolevsldi theory.
Ahmed El-Fiky
doaj   +2 more sources

Homogenization of a nonlinear degenerate parabolic differential equation

open access: yesElectronic Journal of Differential Equations, 2001
In this article, we study the homogenization of the nonlinear degenerate parabolic equation $$ partial_t b({x /varepsilon},u_varepsilon) - mathop{ m div} a({x /varepsilon},{t /varepsilon}, u_varepsilon,abla u_varepsilon)=f(x,t), $$ with mixed boundary ...
A. K. Nandakumaran, M. Rajesh
doaj   +1 more source

Strong Traces to Degenerate Parabolic Equations [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2022
We prove existence of strong traces at $t=0$ for quasi-solutions to (multidimensional) degenerate parabolic equations with no non-degeneracy conditions. In order to solve the problem, we combine the blow up method and a strong precompactness result for quasi-solutions to degenerate parabolic equations with the induction argument with respect to the ...
Marko Erceg, Darko Mitrovic
openaire   +6 more sources

Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise [PDF]

open access: yes, 2002
The ergodic properties of SDEs, and various time discretizations for SDEs, are studied. The ergodicity of SDEs is established by using techniques from the theory of Markov chains on general state spaces, such as that expounded by Meyn-Tweedie ...
Stuart, A.M.   +2 more
core   +4 more sources

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