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Stability for semilinear parabolic problems in L_2 and W^{1,2}

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00462816" target="_blank" >RIV/67985840:_____/16:00462816 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.4171/ZAA/1568" target="_blank" >http://dx.doi.org/10.4171/ZAA/1568</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4171/ZAA/1568" target="_blank" >10.4171/ZAA/1568</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Stability for semilinear parabolic problems in L_2 and W^{1,2}

  • Original language description

    Asymptotic stability is studied for semilinear parabolic problems in $L_2 (Omega)$ and interpolation spaces. Some known results about stability in $W^{1,2} (Omega)$ are improved for semilinear parabolic systems with mixed boundary conditions. The approach is based on Amann’s power extrapolation scales. In the Hilbert space setting, a better understanding of this approach is provided for operators satisfying Kato’s square root problem.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Zeitschrift für Analysis und Ihre Anwendungen

  • ISSN

    0232-2064

  • e-ISSN

  • Volume of the periodical

    35

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    25

  • Pages from-to

    333-357

  • UT code for WoS article

    000388453800005

  • EID of the result in the Scopus database

    2-s2.0-84988884697