Results 51 to 60 of about 119,303 (372)
Fundamental solutions for degenerate parabolic equations [PDF]
Acta Mathematica, 1974 This chapter explains the construction of a candidate for a fundamental solution and the existence, smoothness, and certain bounds for a fundamental solution Γ. The underlying assumptions were that ( a ij , ( x )) is uniformly positive definite and a ij , b i are bounded and uniformly Holder continuous. The chapter presents a proof of how if a ij ,
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Continuous dependence estimate for a degenerate parabolic–hyperbolic equation with Lévy noise [PDF]
, 2016 In this article, we are concerned with a multidimensional degenerate parabolic–hyperbolic equation driven by Lévy processes. Using bounded variation (BV) estimates for vanishing viscosity approximations, we derive an explicit continuous dependence ...
U. Koley, A. K. Majee, G. Vallet
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Asymptotic expansions for degenerate parabolic equations
Comptes Rendus. Mathématique, 2014 We prove asymptotic convergence results for some analytical expansions of solutions to degenerate PDEs with applications to financial mathematics. In particular, we combine short-time and global-in-space error estimates, previously obtained in the uniformly parabolic case, with some a priori bounds on “short cylinders”, and we achieve short-time ...
PASCUCCI, ANDREA +2 more
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Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2010 The classification of the weak solutions to Dirichlet initial boundary value problemassociated with a linear degenerate parabolic equation has been studied. Some applications to associated optimal control problems in coeffcients are discussed.
I. G. Balanenko, P. I. Kogut
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Adaptable Tile‐Based Pneumatic Origami through Structurally Coupled Localized Actuation
Advanced Engineering Materials, EarlyView.This article presents tile‐based pneumatic origami structures with rigid tiles and flexible fabric creases, achieving adaptable properties including morphing shape, selective multistability, and tunable stiffness. Independently pressurized folding bladders at each crease enable structurally coupled localized actuation of origami structures.
Tiantian Li, Jonathan Luntz, Diann Brei
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Mixed problems for degenerate abstract parabolic equations and applications [PDF]
, 2017 Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p ...
Sahmurova, Aida, Shakhmurov, Veli
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Strong solutions of the thin film equation in spherical geometry
, 2017 We study existence and long-time behaviour of strong solutions for the thin film equation using a priori estimates in a weighted Sobolev space. This equation can be classified as a doubly degenerate fourth-order parabolic and it models coating flow on ...
A Burchard +11 more
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Thermoelectric Modules Incorporating MgAgSb and Mg3(Sb,Bi)2 Synthesized Using a Melting Method
Advanced Engineering Materials, EarlyView.A scalable synthesis method for a thermoelectric material of MgAgSb is established. A thermoelectric power module of MgAgSb/Mg3(Sb,Bi)2 is fabricated, showing the conversion efficiency of 7.4% at ΔT = 315 K. The performance is comparable to conventional Bi2Te3 modules when they are operated with an air‐cooled heat exchanger.
Kazuo Nagase +8 more
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Coefficient inverse problem for the strongly degenerate parabolic equation
Karpatsʹkì Matematičnì Publìkacìï, 2023 The coefficient inverse problem for the degenerate parabolic equation is investigated. The minor coefficient of this equation is the polynomial of the first power with respect to the space variable with two unknown time-dependent functions.
N.M. Huzyk, P.Y. Pukach, M.I. Vovk
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Fermi Surface Nesting and Anomalous Hall Effect in Magnetically Frustrated Mn2PdIn
Advanced Functional Materials, EarlyView.Mn2PdIn, a frustrated inverse Heusler alloy, showing electronic‐structure driven anomalous Hall effect with Weyl crossings, Fermi‐surface nesting and near‐zero magnetization ideal for low‐magnetization spintronics. Abstract Noncollinear magnets with near‐zero net magnetization and nontrivial bulk electronic topology hold significant promise for ...
Afsar Ahmed +7 more
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