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L2-estimates for si...
L2-estimates for singular oscillatory integral operators
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- Aleksanyan, Hayk (författare)
- KTH,Matematik (Avd.),The University of Edinburgh
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- Shahgholian, Henrik (författare)
- KTH,Matematik (Avd.)
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- Sjölin, Per (författare)
- KTH,Matematik (Avd.)
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KTH Matematik (Avd) (creator_code:org_t)
- Elsevier, 2016
- 2016
- Engelska.
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Ingår i: Journal of Mathematical Analysis and Applications. - : Elsevier. - 0022-247X .- 1096-0813. ; 441:2, s. 529-548
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- In this note we study singular oscillatory integrals with linear phase function over hypersurfaces which may oscillate, and prove estimates of L2L2 type for the operator, as well as for the corresponding maximal function. If the hypersurface is flat, we consider a particular class of a nonlinear phase functions, and apply our analysis to the eigenvalue problem associated with the Helmholtz equation in R3.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Helmholtz equation
- Maximal operator
- Oscillating surface
- Singular integral
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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