Results 21 to 30 of about 2,703,249 (309)
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
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Motion by crystalline-like mean curvature: A survey
We consider a class of anisotropic curvature flows called crystalline curvature flows. We present a survey on this class of flows with special emphasis on the well-posedness of its initial value problem.
Yoshikazu Giga, Norbert Požár
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Multimodal electromechanical model of piezoelectric transformers by Hamilton's principle [PDF]
This work deals with a general energetic approach to establish an accurate electromechanical model of a piezoelectric transformer (PT). Hamilton’s principle is used to obtain the equations of motion for free vibrations. The modal characteristics (mass,
Nadal, Clément, Pigache, François
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We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
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Asymptotic behavior for cross coupled parabolic equations
In order to better describe the heat transfer process of three kinds of mixed substances, namely the reaction of the reactants in the three chemical reactions, a class of three variable cross coupling with non parabolic equations of the whole existence ...
Yingzhen XUE
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We deal with backward stochastic differential equations driven by a pure jump Markov process and an independent Brownian motion (BSDEJs for short). We start by proving the existence and uniqueness of the solutions for this type of equation and present a ...
Khaoula Abdelhadi+3 more
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Death and prudential deprivation [PDF]
Dying is (sometimes) bad for the dier because it prevents her from being the subject of wellbeing she otherwise would (the deprivation account). I argue for this from a (plausible) principle about which futures are bad for a prudential subject (the ...
McClure, Matthew W. G.
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On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations [PDF]
The strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations are considered. For linear elliptic equations it is well known that the strong comparison principle is equivalent to the strong maximum ...
Giga, Yoshikazu, Ohnuma, Masaki
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Some results about semilinear elliptic problems on half-spaces
We prove some new results about the growth, the monotonicity and the symmetry of (possibly) unbounded non-negative solutions of −∆u = f (u) on half-spaces, where f is merely a locally Lipschitz continuous function.
Alberto Farina
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Large deviation for diffusions and Hamilton--Jacobi equation in Hilbert spaces [PDF]
Large deviation for Markov processes can be studied by Hamilton--Jacobi equation techniques. The method of proof involves three steps: First, we apply a nonlinear transform to generators of the Markov processes, and verify that limit of the transformed ...
Feng, Jin
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