Convergence of Inverse Volatility Problem Based on Degenerate Parabolic Equation
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]
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
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
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Pullback Attractors for a Nonautonomous Retarded Degenerate Parabolic Equation
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
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Helix Alignment, Chevrons, and Edge Dislocations in Twist-Bend Ferroelectric Nematics. [PDF]
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]
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
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
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Homogenization of a nonlinear degenerate parabolic differential equation
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]
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]
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

