Construction of the wave group for higher order elliptic boundary value problems
D. Vassiliev (1994-1995)
Séminaire Équations aux dérivées partielles (Polytechnique)
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D. Vassiliev (1994-1995)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Ari Laptev, Yu Safarov (1990)
Journées équations aux dérivées partielles
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Oksana Malanchuk, Zinoviy Nytrebych (2017)
Open Mathematics
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We prove that homogeneous problem for PDE of second order in time variable, and generally infinite order in spatial variables with local two-point conditions with respect to time variable, has only trivial solution in the case when the characteristic determinant of the problem is nonzero. In another, opposite case, we prove the existence of nontrivial solutions of the problem, and we propose a differential-symbol method of constructing them.
J. J. Duistermaat (1971-1972)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Yu. Safarov (1996)
Journées équations aux dérivées partielles
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Victor P. Palamodov (2000)
Annales de l'institut Fourier
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For a Lagrange distribution of order zero we consider a quadratic integral which has logarithmic divergence at the singular locus of the distribution. The residue of the asymptotics is a Hermitian form evaluated in the space of positive distributions supported in the locus. An asymptotic analysis of the residue density is given in terms of the curvature form of the locus. We state a conservation law for the residue of the impulse-energy tensor of solutions of the wave equation which...
J. J. Duistermaat (1976-1977)
Séminaire Bourbaki
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Marco Mughetti (2001)
Rendiconti del Seminario Matematico della Università di Padova
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