Boundary value problems for some classes of higher-order equations that are unsolved with respect to the highest derivative
type: Item
instance of: scholarly article
title: Boundary value problems for some classes of higher-order equations that are unsolved with respect to the highest derivative
zbMATH Open document ID: 0870.35026
DOI: 10.1007/BF02104779
author: A. I. Kozhanov
published in: Siberian Mathematical Journal
publication date: 1996-11-07T00:00:00Z
review text: Of concern are differential equations of the form \[ \partial_t^{m+2}[A_m u]+\partial_t^{m+1}[B_m u]+\partial_t^{m}[C_m u]+ \sum_{j=1}^m \partial_t^{m-j}[A_{m-j} u]=f(t,\cdot) \] with \(A_j\), \(B_m\) and \(C_m\) differential operators of elliptic or elliptic-parabolic type. The author establishes existence and uniqueness in various settings including a so-called partially hyperbolic case. The results rely on coerciveness properties.
reviewed by: Georg Hetzer
Mathematics Subject Classification ID: 35G15
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 35K70
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 916361
zbMATH Keywords: partially hyperbolic case
zbMATH Keywords: coerciveness properties
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 916361