Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean.
Gorman, Arthur D., Yang, Huijun (2001)
International Journal of Mathematics and Mathematical Sciences
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Gorman, Arthur D., Yang, Huijun (2001)
International Journal of Mathematics and Mathematical Sciences
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XS. Feng, F. Wei (1995)
Annales Polonici Mathematici
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We establish the global existence and uniqueness of smooth solutions to a nonlinear Alfvén wave equation arising in a finite-beta plasma. In addition, the spatial asymptotic behavior of the solution is discussed.
Kozhanov, A.I., Lar'kin, N.A. (2001)
Sibirskij Matematicheskij Zhurnal
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Carlos E. Kenig (2007)
Journées Équations aux dérivées partielles
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Dyatlov, G.V. (2001)
Siberian Mathematical Journal
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Ahmed, S.M. (2000)
International Journal of Mathematics and Mathematical Sciences
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Garsia, Adriano, Haiman, Mark, Tesler, Glenn (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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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)...
Romanov, V.G. (2007)
Sibirskij Matematicheskij Zhurnal
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Alain Lascoux, Bernard Leclerc, Jean-Yves Thibon (1996)
Banach Center Publications
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Classes dual to Schubert cycles constitute a basis on the cohomology ring of the flag manifold F, self-adjoint up to indexation with respect to the intersection form. Here, we study the bilinear form (X,Y) :=〈X·Y, c(F)〉 where X,Y are cocycles, c(F) is the total Chern class of F and〈,〉 is the intersection form. This form is related to a twisted action of the symmetric group of the cohomology ring, and to the degenerate affine Hecke algebra. We give a distinguished basis for this form,...
Stepanov, V.D., Ushakova, E.P. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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