REPRESENTATIONS OF SOLUTIONS OF PERIODIC PARTIAL DIFFERENTIAL EQUATIONS Academic Article uri icon

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.

author list (cited authors)

  • Kuchment, P. A.

citation count

  • 1

publication date

  • February 1983