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Which solutions of the third problem for the Poisson equation are bounded?

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F04%3A00106832" target="_blank" >RIV/67985840:_____/04:00106832 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Which solutions of the third problem for the Poisson equation are bounded?

  • Original language description

    The paper deals with the Robin problem for the Poisson equation on a bounded domain with smooth boundary. It is shown that the weak solution of the problem is bounded if and only if the Newtonian potential corresponding to the boundary condition is bounded on the considered domain.

  • Czech name

    Která řešení třetí úlohy pro Poissonovu rovnici jsou omezená?

  • Czech description

    Článek se zbývá třetí úlohou pro Poissonovu rovnici na oblastech Ljapunovskou hranicí, kde hraniční podmínka je dána reálnou mírou. Je dokázáno, že slabé řešení dané úlohy je omezené, jestliže Newtonův potenciál odpovídající hraniční podmínce je omezenýna dané oblasti.

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

    <a href="/en/project/GA201%2F00%2F1515" target="_blank" >GA201/00/1515: Boundary integral equation method</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2004

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Abstract and Applied Analysis

  • ISSN

    1085-3375

  • e-ISSN

  • Volume of the periodical

    -

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    10

  • Pages from-to

    501-510

  • UT code for WoS article

  • EID of the result in the Scopus database