The Cauchy problem for a tenth-order thin film equation I. Bifurcation of oscillatory fundamental solutions Articles uri icon

publication date

  • November 2013

start page

  • 1761

end page

  • 1792

issue

  • 4

volume

  • 10

international standard serial number (ISSN)

  • 1660-5446

electronic international standard serial number (EISSN)

  • 1660-5454

abstract

  • Fundamental global similarity solutions of the tenth-order thin film equation u(t) = del. (vertical bar u vertical bar(n del Delta)(4)(u)) in R-N X R+, where n > 0 are studied. The main approach consists in passing to the limit by using Hermitian non-self-adjoint spectral theory corresponding to the rescaled linear poly-harmonic equation u(t) = Delta(5)(u) in R-N X R+. Índice de Impacto 0.64 - Posición de la revista en JCR Mathematics 112/299 año 2013

keywords

  • thin film equation; the cauchy problem; source-type similarity solutions; hermitian spectral theory ; branching