Continuability and estimates of solutions of (a(t)ψ(x)x')' + c(t)f(x) = 0
Vadim Komkov (1974)
Annales Polonici Mathematici
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Displaying similar documents to “Estimates of the distance of two solutions based on the theory of generalized differential equations”
Continuability and estimates of solutions of (a(t)ψ(x)x')' + c(t)f(x) = 0
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H. S. Gopalakrishna, V. S. Shetiya (1977)
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Chun-Yen Shen (2008)
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Damien Roy (2008)
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Zbigniew Błocki (2004)
Annales Polonici Mathematici
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We give upper and lower bounds for constants appearing in the L²-estimates for the ∂̅-operator due to Donnelly-Fefferman and Berndtsson.
From explicit estimates for primes to explicit estimates for the Möbius function
Olivier Ramaré (2013)
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Estimates for the arctangent function related to Shafer's inequality
Cristinel Mortici, H. M. Srivastava (2014)
Colloquium Mathematicae
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The aim of this article is to give new refinements and sharpenings of Shafer's inequality involving the arctangent function. These are obtained by means of a change of variables, which makes the computations much easier than the classical approach.
Interior estimates in the theory of partial differential equations and their application to initial value problems.
Tutschke, Wolfgang (1997)
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On exactness of upper estimates of the characteristic exponent of a linear system with exponentially decreasing perturbations.
Izobov, N.A., Batan, S.N. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Sharp Hölder Estimates for ... on Ellipsoides.
J.E. Fornaess, K. Diederich, ... (1986)
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Resolvent estimates with mild trapping
Jared Wunsch (2012)
Journées Équations aux dérivées partielles
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We discuss recent progress in understanding the effects of certain trapping geometries on cut-off resolvent estimates, and thus on the qualititative behavior of linear evolution equations. We focus on trapping that is unstable, so that strong resolvent estimates hold on the real axis, and large resonance-free regions can be shown to exist beyond it.
Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ordinary differential equations with constant coefficients
Jan Andres, Tomá Turský (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ODEs with constant coefficients are obtained, provided the associated characteristic polynomial is (asymptotically) stable. Assuming, additionally, the stability of the so called "shifted polynomials" (see below) to the characteristic one, the estimates can be still improved.
Error Estimates in Renewal Theory
Stephen Wainger (1969-1970)
Séminaire de théorie des nombres de Bordeaux
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The FBI transform, operators with nonsmooth coefficients and the nonlinear wave equation
Daniel Tataru (1999)
Journées équations aux dérivées partielles
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The aim of this work is threefold. First we set up a calculus for partial differential operators with nonsmooth coefficients which is based on the FBI (Fourier-Bros-Iagolnitzer) transform. Then, using this calculus, we prove a weaker version of the Strichartz estimates for second order hyperbolic equations with nonsmooth coefficients. Finally, we apply these new Strichartz estimates to second order nonlinear hyperbolic equations and improve the local theory, i.e. prove local well-posedness...