First boundary-value problem on the semiaxis for an isotropic superdiffusion equation of order greater than one
UDC 517.95, 517.983, 519.21 The Dirichlet problem is studied for a one-dimensional isotropic superdiffusion equation of order $\alpha\in(1;2)$ on the semiaxis. The analytic solutions of this problem are obtained by the mapping method in the classes of continuous Hўоlder functions, which may have an...
Збережено в:
| Дата: | 2026 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9437 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.95, 517.983, 519.21
The Dirichlet problem is studied for a one-dimensional isotropic superdiffusion equation of order $\alpha\in(1;2)$ on the semiaxis. The analytic solutions of this problem are obtained by the mapping method in the classes of continuous Hўоlder functions, which may have an integrable singularity with respect to time. The probability interpretation of the solutions is clarified and the uniqueness of the regular solution is proved on an infinite time interval. |
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| DOI: | 10.3842/umzh.v78i5-6.9437 |