On the fractional differentiability of the spatial derivatives of weak solutions to nonlinear parabolic systems of higher order

Title:

On the fractional differentiability of the spatial derivatives of weak solutions to nonlinear parabolic systems of higher order

Creator:

Amato, Roberto

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4dd54a7e-4992-427d-8613-7948a13219df
uuid:4dd54a7e-4992-427d-8613-7948a13219df
issn:0011-4642

Subject:

matematika, derivace funkce, mathematics, derivatives (mathematics), nonlinear parabolic system, fractional differentiability, spatial derivative, weak solution, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We are concerned with the problem of differentiability of the derivatives of order m + 1 of solutions to the “nonlinear basic systems” of the type {\left( { - 1} \right)^m}\sum\limits_{\left| \alpha \right| = m} {{D^\alpha }{A^\alpha }\left( {{D^{\left( m \right)}}u} \right)} + \frac{{\partial u}}{{\partial t}} = 0\;in\;Q. We are able to show that {D^\alpha }u \in {L^2}\left( { - a,0,{H^\partial }\left( {B\left( \sigma \right),{\mathbb{R}^N}} \right)} \right),\;\left| \alpha \right| = m + 1, for \partial\in \left ( 0,1/2 \right )and this result suggests that more regularity is not expectable., Roberto Amato., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

293-305

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false