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Quasi-linear equations in coframe gravity

by Yakov Itin , 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 two-indexed quantities) and a most general quasi-linear field equation with free parameters. A part of the parameters are fixed by a condition that the field equation is satisfied by a quasi-conformal coframe with a harmonic conformal function. Thus we obtain a

A class of quasi-linear equations in coframe

by Yakov Itin , 1999
"... gravity ..."
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About Uniqueness Of Weak Solutions To First Order Quasi-Linear Equations

by J. Nieto, J. Soler, F. Poupaud, Labotaroire J. A. Dieudonné, Université De Nice, Parc Valrose, F- Nice Cedex, To Stanislav, N. Kruzhkov , 2003
"... In this paper we give a criterion to discriminate the entropy solution to quasi-linear 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 quasi-linear 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 quasi-linear equation

by Petri Juutinen, Peter Lindqvist, Juan, J. Manfredi - SIAM J. Math. Anal
"... Abstract. We discuss and compare various notions of weak solution for the p-Laplace equation −div(|∇u|p−2∇u) = 0 and its parabolic counterpart ut − div(|∇u|p−2∇u) = 0. In addition to the usual Sobolev weak solutions based on integration by parts, we consider the p-superharmonic (or p-superparaboli ..."
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Abstract. We discuss and compare various notions of weak solution for the p-Laplace equation −div(|∇u|p−2∇u) = 0 and its parabolic counterpart ut − div(|∇u|p−2∇u) = 0. In addition to the usual Sobolev weak solutions based on integration by parts, we consider the p-superharmonic (or p

MOUNTAIN PASS SOLUTIONS FOR QUASI-LINEAR EQUATIONS VIA A MONOTONICITY TRICK

by Benedetta Pellacci, Marco Squassina
"... ar ..."
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ON THE DIRICHLET PROBLEM FOR FIRST ORDER HYPERBOLIC PDES ON BOUNDED DOMAINS WITH MERE INFLOW BOUNDARY: PART II QUASI-LINEAR EQUATIONS

by Thomas März
"... Abstract. We study the Dirichlet problem for first order hyperbolic quasi-linear 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 quasi-linear 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

by Bd F. Mitterrand, U Wr , 2008
"... Solutions for the quasi-linear equations in multipliers spaces ..."
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Solutions for the quasi-linear equations in multipliers spaces

A PRIOR / ESTIMATES FOR DIFFERENCE EQUATIONS*

by A. A. Samarskii , 1961
"... THE present study arose in connection with an investigation of the convergence and accuracy of homogeneous difference through-computation schemes (see [l]) for the solution of non-linear and quasi-linear equations of the parabolic and hyper-bolic types: ..."
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THE present study arose in connection with an investigation of the convergence and accuracy of homogeneous difference through-computation schemes (see [l]) for the solution of non-linear and quasi-linear equations of the parabolic and hyper-bolic types:

RICH QUASI-LINEAR SYSTEM FOR INTEGRABLE GEODESIC FLOWS ON 2-TORUS

by Misha Bialy, Andrey, E. Mironov , 907
"... Abstract. Consider a Riemannian metric on two-torus. We prove that the question of existence of polynomial first integrals leads naturally to a remarkable system of quasi-linear 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 two-torus. We prove that the question of existence of polynomial first integrals leads naturally to a remarkable system of quasi-linear equations which turns out to be a Rich system of conservation laws. This reduces the question of integrability

APPLICATION TO THE QUASI-LINEAR KLEIN-GORDON EQUATION ON S 1

by J. -m. Delort, Quasi-linear Klein-gordon, J. -m. Delort , 2009
"... Abstract. — Consider a nonlinear Klein-Gordon 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 time-interval] − 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 quasi-linear equations. iv Résumé. — Considérons une équation de Klein-Gordon non-linéaire sur le cercle unité, à données régulières de taille ɛ → 0. Appelons solution presque globale toute
Results 1 - 10 of 1,415