Nonuniqueness of solutions of initial-value problems for parabolic p-Laplacian

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43924597" target="_blank" >RIV/49777513:23520/15:43924597 - isvavai.cz</a>

Result on the web

<a href="http://ejde.math.txstate.edu/Volumes/2015/38/abstr.html" target="_blank" >http://ejde.math.txstate.edu/Volumes/2015/38/abstr.html</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Nonuniqueness of solutions of initial-value problems for parabolic p-Laplacian

Original language description

We construct a positive solution to a quasilinear parabolic problem in a bounded spatial domain with the p-Laplacian and a nonsmooth reaction function. We obtain nonuniqueness for zero initial data. Our method is based on sub- and supersolutions and theweak comparison principle. Using the method of sub- and supersolutions we construct a positive solution to a quasilinear parabolic problem with the p-Laplacian and a reaction function that is non-Lipschitz on a part of the spatial domain. Thereby we obtain nonuniqueness for zero initial data.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Electronic Journal Of Differential Equations

ISSN

1072-6691

e-ISSN

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Volume of the periodical

2015

Issue of the periodical within the volume

38

Country of publishing house

US - UNITED STATES

Number of pages

7

Pages from-to

1-7

UT code for WoS article

000350986200004

EID of the result in the Scopus database

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