REPRESENTATIONS OF SOLUTIONS OF PERIODIC PARTIAL DIFFERENTIAL EQUATIONS

abstract

• 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 L2(Rn)-solutions of equations in these classes is also examined.Bibliography: 41 titles. 1983 American Mathematical Society.

authors

• Kuchment, Peter

published proceedings

• Mathematics of the USSR-Izvestiya

author list (cited authors)

• Kuchment, P. A.

citation count

• 1

complete list of authors

• Kuchment, PA

publication date

• February 1983

publisher

• Steklov Mathematical Institute  Publisher

published in

• Mathematics of the USSR - Izvestija  Journal

Digital Object Identifier (DOI)

• 10.1070/im1983v021n01abeh001642

start page

• 93

end page

• 117

volume

• 21

issue

• 1

URL

• https://doi.org/10.1070/im1983v021n01abeh001642