Localization of spectrum bottom for the Stokes operator in a random porous medium.
Yurinsky, V.V. (2001)
Siberian Mathematical Journal
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Yurinsky, V.V. (2001)
Siberian Mathematical Journal
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Nils Dencker (2003)
Journées équations aux dérivées partielles
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We prove the Nirenberg-Treves conjecture : that for principal type pseudo-differential operators local solvability is equivalent to condition (). This condition rules out certain sign changes of the imaginary part of the principal symbol along the bicharacteristics of the real part. We obtain local solvability by proving a localizable estimate for the adjoint operator with a loss of two derivatives (compared with the elliptic case). The proof involves a new metric in the Weyl (or Beals-Fefferman)...
Monakhov, V.N. (2000)
Siberian Mathematical Journal
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Aseev, V.V., Kuzin, D.G. (2000)
Sibirskij Matematicheskij Zhurnal
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Carlos E. Kenig (2007)
Journées Équations aux dérivées partielles
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Uskova, N.B. (2000)
Sibirskij Matematicheskij Zhurnal
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Kaptsov, O.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Abuzyarova, N.F., Yulmukhametov, R.S. (2001)
Sibirskij Matematicheskij Zhurnal
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Georgi Karadzhov (1992)
Banach Center Publications
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The Szegö equiconvergence theorem for the Laguerre series is improved. In particular, a system of exact sufficient conditions is given.
Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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