1. Главная
  2. Ресурсы
  3. Библиотечный поиск
The asymptoticbehavior of thesolution of aninverse problem forthe pseudoparabolicequation : научноеиздание Lyubanova Anna S.Velisevich Aleksander V.2022 год

The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation : научное издание
статья из журнала

Дополнительные ссылки: eLibrary
База данных: Каталог библиотеки СФУ
Библиографическое описание: The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation : научное издание / Anna S. Lyubanova, Aleksander V. Velisevich. - Текст : непосредственный // Journal of Inverse and Ill-Posed Problems. - 2022. - Т. 0, № . - ISSN 0928-0219. - ISSN 1569-3945, DOI 10.1515/jiip-2019-0045.
Аннотация: <jats:title>Abstract</jats:title> <jats:p>We establish the stabilization of the strong solution <jats:inline-formula id="j_jiip-2019-0045_ineq_9999"> <jats:alternatives> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mi>u</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mi>t</m:mi> <m:mo>,</m:mo> <m:mi>x</m:mi> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:mrow> <m:mo>,</m:mo> <m:mrow> <m:mi>k</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mi>t</m:mi> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_jiip-2019-0045_eq_0172.png" /> <jats:tex-math>{(u(t,x),k(t))}</jats:tex-math> </jats:alternatives> </jats:inline-formula> to the inverse problem for a pseudoparabolic equation <jats:inline-formula id="j_jiip-2019-0045_ineq_9998"> <jats:alternatives> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mrow> <m:msub> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mi>u</m:mi> <m:mo>+</m:mo> <m:mrow> <m:mi>η</m:mi> <m:mo>⁢</m:mo> <m:mi>M</m:mi> <m:mo>⁢</m:mo> <m:mi>u</m:mi> </m:mrow> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> <m:mi>t</m:mi> </m:msub> <m:mo>+</m:mo> <m:mrow> <m:mi>M</m:mi> <m:mo>⁢</m:mo> <m:mi>u</m:mi> </m:mrow> <m:mo>+</m:mo> <m:mrow> <m:mi>k</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mi>t</m:mi> <m:mo stretchy="false">)</m:mo> </m:mrow> <m:mo>⁢</m:mo> <m:mi>u</m:mi> </m:mrow> </m:mrow> <m:mo>=</m:mo> <m:mi>f</m:mi> </m:mrow> </m:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_jiip-2019-0045_eq_0173.png" /> <jats:tex-math>{(u+\eta Mu)_{t}+Mu+k(t)u=f}</jats:tex-math> </jats:alternatives> </jats:inline-formula> with an unknown coefficient <jats:inline-formula id="j_jiip-2019-0045_ineq_9997"> <jats:alternatives> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>k</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mi>t</m:mi> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:mrow> </m:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_jiip-2019-0045_eq_0297.png" /> <jats:tex-math>{k(t)}</jats:tex-math> </jats:alternatives> </jats:inline-formula> to the solution <jats:inline-formula id="j_jiip-2019-0045_ineq_9996"> <jats:alternatives> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:msup> <m:mi>u</m:mi> <m:mi mathvariant="normal">∞</m:mi> </m:msup> <m:mo>,</m:mo> <m:msup> <m:mi>k</m:mi> <m:mi mathvariant="normal">∞</m:mi> </m:msup> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_jiip-2019-0045_eq_0179.png" /> <jats:tex-math>{(u
Год издания: 2022
Авторы: Lyubanova Anna S. , Velisevich Aleksander V.
Издательство: Brill Academic Publishers
Источник: Journal of Inverse and Ill-Posed Problems
Выпуск: Т. 0
Держатель оригинала документа: Siberian Federal University, Svobodnii Str. 79, 660041 Krasnoyarsk, Russia
Количество экземпляров:
Твёрдая копия издания отсутствует в фонде библиотеки

Похожие публикации

The Regularity of the Solutions of Inverse Problems for the Pseudoparabolic Equation : статья из журнала

  • Lyubanova Anna
  • 2021 год

On the Existence of Solution of Some Inverse Problem for the Elliptic Equation : статья из журнала

  • Lyubanova Anna и др.
  • 2026 год

An Inverse Problem for Pseudoparabolic Equation with the Mixed Boundary Condition : статья из журнала

  • Lyubanova Anna
  • 2023 год

On the Stability of the Solutions of Inverse Problems for Elliptic Equations : статья из журнала

  • Velisevich Alexander и др.
  • 2024 год

Inverse Problems of Finding the Lowest Coefficient in the Elliptic Equation : статья из журнала

  • Kozhanov Alexander и др.
  • 2021 год

On an Inverse Problem for the Stationary Equation with a Boundary Condition of the Third Type : статья из журнала

  • Velisevich Alexander
  • 2021 год

Inverse Problem for the Viscoelastic Equation with Additional Information of Special form : статья из журнала

  • Safarov Jurabek
  • 2025 год
On the asymptoticbehavior of inverseproblems forparabolic equation Lemeshkova E.Andreev V.2021 год

On the asymptotic behavior of inverse problems for parabolic equation : научное издание

  • Lemeshkova E. и др.
  • 2021 год

Показать ещё