Global solutions and their limit behavior for parabolic inclusions with an unbounded right-hand part

Authors

  • O. Kapustyan Taras Shevchenko National University of Kyiv, 64/13 Volodymyrska str., 01601, Kyiv, Ukraine https://orcid.org/0000-0002-9373-6812
  • D. Bezushchak Taras Shevchenko National University of Kyiv, 64/13 Volodymyrska str., 01601, Kyiv, Ukraine
  • O. Stanzhytskyi Taras Shevchenko National University of Kyiv, 64/13 Volodymyrska str., 01601, Kyiv, Ukraine https://orcid.org/0000-0002-1456-729X
  • I. Korol Uzhhorod National University, 3 Narodna sq., Uzhhorod, Ukraine; The John Paul II Catholic University of Lublin, 14 Racławickie ave., 20-950 Lublin, Poland https://orcid.org/0000-0001-7826-0249
https://doi.org/10.15330/cmp.16.2.414-426

Keywords:

parabolic inclusion, mild solution, weak solution, semigroup, limit set
Published online: 2024-10-12

Abstract

We study global resolvability for parabolic inclusions with an upper semicontinuous multi-valued right-hand part of more than linear growth. Theorems about the existence of global mild solutions in different phase spaces are proved. Limit sets for the obtained global solutions in the corresponding phase spaces are investigated.

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How to Cite
(1)
Kapustyan, O.; Bezushchak, D.; Stanzhytskyi, O.; Korol, I. Global Solutions and Their Limit Behavior for Parabolic Inclusions With an Unbounded Right-Hand Part. Carpathian Math. Publ. 2024, 16, 414-426.