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The RungeKutta discontinuous Galerkin method for conservation laws V: multidimensional systems
, 1997
"... This is the fifth paper in a series in which we construct and study the socalled RungeKutta Discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional nonlinear systems of conservation laws. The algorithms are describ ..."
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Cited by 508 (44 self)
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This is the fifth paper in a series in which we construct and study the socalled RungeKutta Discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional nonlinear systems of conservation laws. The algorithms
STURMLIOUVILLE EQUATIONS INVOLVING DISCONTINUOUS NONLINEARITIES
"... Abstract. This paper deals with equations of SturmLiouvilletype having nonlinearities on the righthand side being possibly discontinuous. We present different existence results of such equations under various hypotheses on the nonlinearities. Our approach relies on critical point theory for local ..."
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Abstract. This paper deals with equations of SturmLiouvilletype having nonlinearities on the righthand side being possibly discontinuous. We present different existence results of such equations under various hypotheses on the nonlinearities. Our approach relies on critical point theory
On PERIODICAL OSCILLATIONS of LURIE SYSTEMS with DISCONTINUOUS NONLINEARITY
, 2008
"... Sufficient conditions of global attracting limit cycle existence for Lurie system with sign nonlinearity are presented. It is assumed that the linear part of the system is output stabilizable, the nonlinearity has linear negative term plus positive one proportional to the output sign. Conditions of ..."
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Sufficient conditions of global attracting limit cycle existence for Lurie system with sign nonlinearity are presented. It is assumed that the linear part of the system is output stabilizable, the nonlinearity has linear negative term plus positive one proportional to the output sign. Conditions
of Semilinear Elliptic Equations with Continuous or Discontinuous Nonlinearities
"... 1 Introduction. We begin this paper by considering the existence of nontrivial solutions of the boundary value problem of the form $\Delta u=g(u) $ in $\Omega $ , $u_{\partial\Omega}=0 $ , (1) where $\Omega $ is a bounded domain with smooth boundary $\partial\Omega $ in $R^{n} $ and $g $ is a real ..."
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1 Introduction. We begin this paper by considering the existence of nontrivial solutions of the boundary value problem of the form $\Delta u=g(u) $ in $\Omega $ , $u_{\partial\Omega}=0 $ , (1) where $\Omega $ is a bounded domain with smooth boundary $\partial\Omega $ in $R^{n} $ and $g $ is a realvalued
STANDING WAVE SOLUTIONS OF SCHRÖDINGER SYSTEMS WITH DISCONTINUOUS NONLINEARITY IN ANISOTROPIC MEDIA
, 2006
"... We establish the existence of an entire solution for a class of stationary Schrödinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow up at infinity. The proof is based on the critical point theory in the sense of Clarke and we apply Chang’s version of ..."
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We establish the existence of an entire solution for a class of stationary Schrödinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow up at infinity. The proof is based on the critical point theory in the sense of Clarke and we apply Chang’s version
Using Maimonides’ Rule to Estimate the Effect of Class Size on Scholastic Achievement
 QUARTERLY JOURNAL OF ECONOMICS
, 1999
"... The twelfth century rabbinic scholar Maimonides proposed a maximum class size of 40. This same maximum induces a nonlinear and nonmonotonic relationship between grade enrollment and class size in Israeli public schools today. Maimonides’ rule of 40 is used here to construct instrumental variables e ..."
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Cited by 582 (40 self)
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The twelfth century rabbinic scholar Maimonides proposed a maximum class size of 40. This same maximum induces a nonlinear and nonmonotonic relationship between grade enrollment and class size in Israeli public schools today. Maimonides’ rule of 40 is used here to construct instrumental variables
An existence theorem for parabolic equations on R N with
, 2002
"... discontinuous nonlinearity ..."
Positive solutions of elliptic equations with discontinuous nonlinearities, Topol. Methods Nonlinear Anal
, 1996
"... In this paper an existence theorem of positive solutions to the Dirichlet problem for elliptic equations having nonlinear terms with an uncountable set of discontinuities is established. Some applications to special cases, such as problems with critical Sobolev growth, are also presented. The appr ..."
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Cited by 5 (2 self)
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In this paper an existence theorem of positive solutions to the Dirichlet problem for elliptic equations having nonlinear terms with an uncountable set of discontinuities is established. Some applications to special cases, such as problems with critical Sobolev growth, are also presented
Dynamics of a reactiondiffusion equation with a discontinuous nonlinearity
"... We study the nonlinear dynamics of a reactiondiffusion equation where the nonlinearity presents a discontinuity. We prove the upper semicontinuity of solutions and of the global attractor with respect to smooth approximations of the nonlinear term. We also give a complete description of the set of ..."
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Cited by 3 (1 self)
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We study the nonlinear dynamics of a reactiondiffusion equation where the nonlinearity presents a discontinuity. We prove the upper semicontinuity of solutions and of the global attractor with respect to smooth approximations of the nonlinear term. We also give a complete description of the set
Discontinuous nonlinear mappings on locally convex direct limits
 Publ. Math. Debrecen
, 2006
"... We show that the selfmap f: C ∞ c (R) → C ∞ c (R), f(γ): = γ ◦ γ − γ(0) of the space of realvalued test functions on the line is discontinuous, although its restriction to the space C ∞ K (R) of functions supported in K is smooth (and hence continuous), for each compact subset K ⊆ R. More general ..."
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Cited by 3 (1 self)
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We show that the selfmap f: C ∞ c (R) → C ∞ c (R), f(γ): = γ ◦ γ − γ(0) of the space of realvalued test functions on the line is discontinuous, although its restriction to the space C ∞ K (R) of functions supported in K is smooth (and hence continuous), for each compact subset K ⊆ R. More
Results 1  10
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1,701