The uniqueness of the solution of a nonlinear heat conduction problem under Hölder’s continuity condition

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00520539" target="_blank" >RIV/67985840:_____/20:00520539 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aml.2020.106214" target="_blank" >https://doi.org/10.1016/j.aml.2020.106214</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2020.106214" target="_blank" >10.1016/j.aml.2020.106214</a>

Result language
angličtina
Original language name
The uniqueness of the solution of a nonlinear heat conduction problem under Hölder’s continuity condition
Original language description
We investigate a stationary nonlinear heat conduction problem in which heat conductivities depend on temperature. It is known that such problem need not have a unique solution even when the conductivity coefficients are continuous. In this paper we prove that for 1/2-Hölder continuous coefficients the uniqueness of the weak solution is guaranteed.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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