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Quasilinear equations in coframe gravity
, 1999
"... We consider a certain variant of teleparallel gravity: a differential manifold endowed with a smooth coframe field. The differentialgeometric structure on the manifold can be characterized by the objects of anholonomity and its derivative objects of curvature. We construct a full list of the first ..."
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and second order SO(1,3)covariants (one and twoindexed quantities) and a most general quasilinear field equation with free parameters. A part of the parameters are fixed by a condition that the field equation is satisfied by a quasiconformal coframe with a harmonic conformal function. Thus we obtain a
About Uniqueness Of Weak Solutions To First Order QuasiLinear Equations
, 2003
"... In this paper we give a criterion to discriminate the entropy solution to quasilinear equations of first order among weak solutions. This uniqueness statement is a generalization of Oleinik's criterion, which makes reference to the measure of the increasing character of weak solutions. The lin ..."
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In this paper we give a criterion to discriminate the entropy solution to quasilinear equations of first order among weak solutions. This uniqueness statement is a generalization of Oleinik's criterion, which makes reference to the measure of the increasing character of weak solutions
On the equivalence of viscosity solutions and weak solutions for a quasilinear equation
 SIAM J. Math. Anal
"... Abstract. We discuss and compare various notions of weak solution for the pLaplace equation −div(∇up−2∇u) = 0 and its parabolic counterpart ut − div(∇up−2∇u) = 0. In addition to the usual Sobolev weak solutions based on integration by parts, we consider the psuperharmonic (or psuperparaboli ..."
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Cited by 83 (25 self)
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Abstract. We discuss and compare various notions of weak solution for the pLaplace equation −div(∇up−2∇u) = 0 and its parabolic counterpart ut − div(∇up−2∇u) = 0. In addition to the usual Sobolev weak solutions based on integration by parts, we consider the psuperharmonic (or p
ON THE DIRICHLET PROBLEM FOR FIRST ORDER HYPERBOLIC PDES ON BOUNDED DOMAINS WITH MERE INFLOW BOUNDARY: PART II QUASILINEAR EQUATIONS
"... Abstract. We study the Dirichlet problem for first order hyperbolic quasilinear functional PDEs on a simply connected bounded domain ofR2, where the domain has an interior outflow set and a mere inflow boundary. While the question of existence of a solution has already been answered in its predeces ..."
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Abstract. We study the Dirichlet problem for first order hyperbolic quasilinear functional PDEs on a simply connected bounded domain ofR2, where the domain has an interior outflow set and a mere inflow boundary. While the question of existence of a solution has already been answered in its
By Sadek Gala Université d’Evry Val d’Essonne Département de mathématiques
, 2008
"... Solutions for the quasilinear equations in multipliers spaces ..."
A PRIOR / ESTIMATES FOR DIFFERENCE EQUATIONS*
, 1961
"... THE present study arose in connection with an investigation of the convergence and accuracy of homogeneous difference throughcomputation schemes (see [l]) for the solution of nonlinear and quasilinear equations of the parabolic and hyperbolic types: ..."
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THE present study arose in connection with an investigation of the convergence and accuracy of homogeneous difference throughcomputation schemes (see [l]) for the solution of nonlinear and quasilinear equations of the parabolic and hyperbolic types:
RICH QUASILINEAR SYSTEM FOR INTEGRABLE GEODESIC FLOWS ON 2TORUS
, 907
"... Abstract. Consider a Riemannian metric on twotorus. We prove that the question of existence of polynomial first integrals leads naturally to a remarkable system of quasilinear equations which turns out to be a Rich system of conservation laws. This reduces the question of integrability to the ques ..."
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Abstract. Consider a Riemannian metric on twotorus. We prove that the question of existence of polynomial first integrals leads naturally to a remarkable system of quasilinear equations which turns out to be a Rich system of conservation laws. This reduces the question of integrability
APPLICATION TO THE QUASILINEAR KLEINGORDON EQUATION ON S 1
, 2009
"... Abstract. — Consider a nonlinear KleinGordon equation on the unit circle, with smooth data of size ɛ → 0. A solution u which, for any κ ∈ N, may be extended as a smooth solution on a timeinterval] − cκɛ−κ, cκɛ−κ [ for some cκ> 0 and for 0 < ɛ < ɛκ, is called an almost global solution. It ..."
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method for quasilinear equations. iv Résumé. — Considérons une équation de KleinGordon nonlinéaire sur le cercle unité, à données régulières de taille ɛ → 0. Appelons solution presque globale toute
Results 1  10
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