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Decay Estimates For Hyperbolic Systems
, 2003
"... In this work we study the Sobolev spaces generated by pseudodi#erential operators associated with the group of symmetry of general first order hyperbolic systems. In these spaces we establish pointwise estimates of the solutions of a class of first order systems having convex eigenvalues. Various p ..."
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In this work we study the Sobolev spaces generated by pseudodi#erential operators associated with the group of symmetry of general first order hyperbolic systems. In these spaces we establish pointwise estimates of the solutions of a class of first order systems having convex eigenvalues. Various
Decay estimates for weighted oscillatory integrals
 in R 2 , Indiana
"... ABSTRACT. In this paper, we study decay estimates for a twodimensional scalar oscillatory integral with degenerate realanalytic phase and amplitude. Integrals such as these form a model for certain higherdimensional degenerate oscillatory integrals, for which it is known that many of the twodim ..."
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Cited by 6 (0 self)
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ABSTRACT. In this paper, we study decay estimates for a twodimensional scalar oscillatory integral with degenerate realanalytic phase and amplitude. Integrals such as these form a model for certain higherdimensional degenerate oscillatory integrals, for which it is known that many of the two
Decay estimates for a class of wave equations
, 802
"... Abstract In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by e itφ( √ −∆), where φ: R → R is smooth away from the origin. Especially, the decay estimates for the solutions of the KleinGordon equation and the beam equation are simplified and sl ..."
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Cited by 14 (5 self)
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Abstract In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by e itφ( √ −∆), where φ: R → R is smooth away from the origin. Especially, the decay estimates for the solutions of the KleinGordon equation and the beam equation are simplified
Decay estimates for the wave equation with potential
 Comm. Partial Differential Equations
"... The solution of the non homogeneous linear wave equation: ..."
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Cited by 31 (1 self)
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The solution of the non homogeneous linear wave equation:
AgmonType Exponential Decay Estimates for Pseudodifferential Operators
 J. Math. Sci. Univ. Tokyo
, 1998
"... We study generalizations of Agmontype estimates on eigenfunctions for Schrödinger operators. In the first part, we prove an exponential decay estimate on eigenfunctions for a class of pseudodifferential operators. In the second part, we study the semiclassical limit of ...pseudodifferential operat ..."
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Cited by 9 (3 self)
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We study generalizations of Agmontype estimates on eigenfunctions for Schrödinger operators. In the first part, we prove an exponential decay estimate on eigenfunctions for a class of pseudodifferential operators. In the second part, we study the semiclassical limit of ...pseudodifferential
ABOUT THE INFLUENCE OF OSCILLATIONS ON STRICHARTZTYPE DECAY ESTIMATES
"... Abstract. Starting with the wellknown Strichartz decay estimate for the wave equation we are interested in a similar estimate for wave equations with a time dependent coefficient. The model under consideration is the strictly hyperbolic equation utt −a(t)△u = 0. By the aid of an example we illustra ..."
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Cited by 10 (2 self)
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Abstract. Starting with the wellknown Strichartz decay estimate for the wave equation we are interested in a similar estimate for wave equations with a time dependent coefficient. The model under consideration is the strictly hyperbolic equation utt −a(t)△u = 0. By the aid of an example we
Improved entropy decay estimates for the heat equation
, 2007
"... Improved entropy decay estimates for the heat equation are obtained by selecting well parameterized Gaussians. Either by mass centering or by fixing the second moments or the covariance matrix of the solution, relative entropy towards these Gaussians is shown to decay with better constants than cla ..."
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Cited by 5 (1 self)
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Improved entropy decay estimates for the heat equation are obtained by selecting well parameterized Gaussians. Either by mass centering or by fixing the second moments or the covariance matrix of the solution, relative entropy towards these Gaussians is shown to decay with better constants than
Decay estimates of solutions to wave equations in conical sets
, 2005
"... We consider the wave equation in an unbounded conical domain, with initial conditions and boundary conditions of Dirichlet or Neumann type. We give a uniform decay estimate of the solution in terms of weighted Sobolev norms of the initial data. The decay rate is the same as in the full space case. ..."
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We consider the wave equation in an unbounded conical domain, with initial conditions and boundary conditions of Dirichlet or Neumann type. We give a uniform decay estimate of the solution in terms of weighted Sobolev norms of the initial data. The decay rate is the same as in the full space case.
Results 1  10
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199,064