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Solution representations for a wave equation with weak dissipation
  • J. Wirth
  • Physics, Mathematics
  • 2 October 2002
We consider the Cauchy problem for the weakly dissipative wave equation □v+μ/1+tvt=0, x∈ℝn, t≥0 parameterized by μ>0, and prove a representation theorem for its solutions using the theory of specialExpand
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Wave equations with time-dependent dissipation II. Effective dissipation
Abstract This article is intended to present a construction of structural representations of solutions to the Cauchy problem for wave equations with time-dependent dissipation above scaling. TheseExpand
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Fourier multipliers on compact Lie groups
In this paper we prove L p Fourier multiplier theorems for invariant and also noninvariant operators on compactLie groups in the spirit of thewell-knownHörmander–Mikhlin theorem on Rn and itsExpand
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Asymptotic properties of solutions to wave equations with time-dependent dissipation
problems of the form utt +Au+ b(t)ut = 0 for a function u(t) taking values in a Hilbert space H and with a positive closed operator A : H ⊇ D(A) → H can be treated by the same arguments in terms of aExpand
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$$L^p$$Lp Fourier multipliers on compact Lie groups
In this paper we prove $$L^p$$Lp Fourier multiplier theorems for invariant and also non-invariant operators on compact Lie groups in the spirit of the well-known Hörmander–Mikhlin theorem onExpand
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On multipliers on compact Lie groups
In this note we announce Lp multiplier theorems for invariant and noninvariant operators on compact Lie groups in the spirit of the well-known Hörmander-Mikhlin theorem on ℝn and its versions on theExpand
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Regulatory and financial incentives for scaling up concentrating solar power in developing countries
Concentrating solar thermal (CST) technologies have a clear potential for scaling up renewable energy at the utility level, thereby diversifying the generation portfolio mix, powering development,Expand
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The Hardy–Littlewood Maximal Operator
In this chapter we turn to the study of harmonic analysis on the variable Lebesgue spaces. Our goal is to establish sufficient conditions for the Hardy–Littlewood maximal operator to be bounded on LExpand
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Global functional calculus for operators on compact Lie groups
Abstract In this paper we develop the functional calculus for elliptic operators on compact Lie groups without the assumption that the operator is a classical pseudo-differential operator.Expand
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Diffusive wavelets on groups and homogeneous spaces
We explain the basic ideas behind the concept of diffusive wavelets on spheres in the language of representation theory of Lie groups and within the framework of the group Fourier transform given byExpand
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