Stability estimates for the solutions of a certain ultraparabolic equation
type: Item
instance of: scholarly article
title: Stability estimates for the solutions of a certain ultraparabolic equation
zbMATH Open document ID: 0672.35037
DOI: 10.1007/BF00975029
author: L. G. Gomboev
published in: Siberian Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: The paper deals with the ultraparabolic equation \(\partial_ 1u=\sum^{n}_{j=1}u_{x_ jx_ j},\) where \[ \partial_ 1u=\sum^{m}_{j=1}u_{t_ j}+\sum^{p}_{j=1}u_{\tau_ j},\quad X_ j>0,\quad t_ j>0,\quad \tau \in {\mathbb{R}}^ p. \] The stability estimations for solutions with the conditions \[ u|_{t_ j=0}=0,\quad u|_{x_ j=a_ j}=f(x,t,\tau),\quad j=1,...,n,\quad a_ j\geq 0,\quad \sum^{n}_{j=1}a_ j>0 \] are established.
Mathematics Subject Classification ID: 35K70
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 4099793
zbMATH Keywords: ultraparabolic
zbMATH Keywords: stability
MaRDI profile type: Publication
cites work: Q3952526
cites work: Q5563762
cites work: Q3748650
description: scientific article; zbMATH DE number 4099793