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Regularity of Fouri...
Regularity of Fourier integral operators with amplitudes in general Hormander classes
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- Castro, Alejandro J. (författare)
- Nazarbayev Univ, Dept Math, Nur Sultan 010000, Kazakhstan.
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- Israelsson, Anders (författare)
- Uppsala universitet,Matematiska institutionen
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- Staubach, Wolfgang (författare)
- Uppsala universitet,Analys och sannolikhetsteori
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Nazarbayev Univ, Dept Math, Nur Sultan 010000, Kazakhstan Matematiska institutionen (creator_code:org_t)
- 2021-06-05
- 2021
- Engelska.
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Ingår i: Analysis and Mathematical Physics. - : Springer Nature. - 1664-2368 .- 1664-235X. ; 11:3
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Abstract
Ämnesord
Stäng
- We prove the global Lp-boundedness of Fourier integral operators that model the parametrices for hyperbolic partial differential equations, with amplitudes in classical Hormander classes S rho,delta m(Rn) for parameters 0 <= rho <= 1, 0 <= delta <1. We also consider the regularity of operators with amplitudes in the exotic class S0,m(Rn), 0 <= delta <1 and the forbidden class S,1m(Rn), 0 <= rho <= 1. Furthermore we show that despite the failure of the L2-boundedness of operators with amplitudes in the forbidden class S1,10(Rn), the operators in question are bounded on Sobolev spaces Hs(Rn) with s>0. This result extends those of Y. Meyer and E. M. Stein to the setting of Fourier integral operators.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Fourier integral operators
- Hyperbolic PDEs
- Hormander classes
- Primary: 42B20
- 47D06
- Secondary: 35S30
- 35L05
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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