Smoothness of solutions of the Cauchy problem for degenerate parabolic equations
type: Item
instance of: scholarly article
title: Smoothness of solutions of the Cauchy problem for degenerate parabolic equations
zbMATH Open document ID: 0639.35044
DOI: 10.1007/BF01138724
published in: Mathematical Notes
publication date: 1987-01-01T00:00:00Z
review text: The Cauchy problem is considered \[ \partial_ tu=Au\quad (t>0),\quad u|_{t=0}=f. \] Here A is a linear selfadjoint nonnegative second- order differential operator with analytic coefficients. Growth estimates for derivatives of solutions with respect to x variables are obtained. An example of an A operator is given, for which these estimates are precise.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4042420
zbMATH Keywords: Cauchy problem
zbMATH Keywords: selfadjoint
zbMATH Keywords: nonnegative
zbMATH Keywords: second-order
zbMATH Keywords: analytic coefficients
zbMATH Keywords: Growth estimates
author: Anatoli Babin
MaRDI profile type: Publication
cites work: Q3329838
full work available at URL: https://doi.org/10.1007/bf01138724
OpenAlex ID: W2066731883
description: scientific article; zbMATH DE number 4042420