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Transference of loc...
Transference of local to global L-2 maximal estimates for dispersive partial differential equations
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- Castro, Alejandro J. (författare)
- Nazarbayev Univ, Dept Math, Astana 010000, Kazakhstan
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- Rodríguez-López, Salvador (författare)
- Stockholms universitet,Matematiska institutionen,Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden
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- Staubach, Wolfgang (författare)
- Uppsala universitet,Analys och sannolikhetsteori
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(creator_code:org_t)
- Elsevier BV, 2019
- 2019
- Engelska.
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Ingår i: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 471:1-2, s. 411-422
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Abstract
Ämnesord
Stäng
- In this paper we give an elementary proof for transference of local to global maximal estimates for dispersive PDEs. This is done by transferring local L-2 estimates for certain oscillatory integrals with rough phase functions, to the corresponding global estimates. The elementary feature of our approach is that it entirely avoids the use of the wave packet techniques which are quite common in this context, and instead is based on scalings and classical oscillatory integral estimates.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Oscillatory integrals
- Maximal-function estimates
- Dispersive equations
- Schrodinger equation
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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