This article is cited in 2 scientific papers (total in 2 papers)
Representations of solutions of periodic partial differential equations
P. A. Kuchment
A variant of the Floquet theory for partial differential equations is constructed. Exponentially increasing solutions of periodic hypoelliptic equations and systems are decomposed into integrals over Floquet solutions. Analogous results are obtained for equations with deviating argument and for boundary-value problems in domains of the periodic wave guide type. The question of nonzero $L_2(\mathbf R^n)$-solutions of equations in these classes is also examined.
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Mathematics of the USSR-Izvestiya, 1983, 21:1, 93–117
MSC: Primary 35C15, 35H05; Secondary 32C35, 32E10, 32L05, 32L10, 35B05, 35J55, 35R10, 4
P. A. Kuchment, “Representations of solutions of periodic partial differential equations”, Izv. Akad. Nauk SSSR Ser. Mat., 46:4 (1982), 782–809; Math. USSR-Izv., 21:1 (1983), 93–117
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\paper Representations of solutions of periodic partial differential equations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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This publication is cited in the following articles:
P. A. Kuchment, “Floquet theory for partial differential equations”, Russian Math. Surveys, 37:4 (1982), 1–60
P. A. Kuchment, “Spherical representation of solutions of invariant differential equations on a Riemannian symmetric space of noncompact type”, Math. USSR-Izv., 27:3 (1986), 535–548
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