Parabolic equations in Musielak- Orlicz spaces with discontinuous in time N-function

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10435822" target="_blank" >RIV/00216208:11320/21:10435822 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=U4OJTbTgYJ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=U4OJTbTgYJ</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2021.04.017" target="_blank" >10.1016/j.jde.2021.04.017</a>

Result language
angličtina
Original language name
Parabolic equations in Musielak- Orlicz spaces with discontinuous in time N-function
Original language description
We consider a parabolic PDE with Dirichlet boundary condition and monotone operator A with non -standard growth controlled by an N-function depending on time and spatial variable. We do not assume continuity in time for the N-function. Using an additional regularization effect coming from the equation, we establish the existence of weak solutions and in the particular case of isotropic N-function, we also prove their uniqueness. This general result applies to equations studied in the literature like p(t, x)-Laplacian and double-phase problems.
Czech name
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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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GX20-11027X" target="_blank" >GX20-11027X: Mathematical analysis of partial differential equations describing far-from-equilibrium open systems in continuum thermodynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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