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Ultra-Parabolic Kolmogorov-Type Equation with Multiple Impulsive Sources Full article

Conference The 12th ISAAC Congress, Aveiro, Portugal, 2019
29 Jul - 3 Aug 2019 , Aveiro, Portugal (г. Авейру, Португалия)
Source Current Trends in Analysis, its Applications and Computation
Compilation, Birkhäuser, Springer Nature Switzerland AG. Cham, Switzerland.2022. 699 c. ISBN 978-3-030-87501-5.
Output data Year: 2022, Pages: 565-574 Pages count : 10 DOI: 10.1007/978-3-030-87502-2_57
Tags Ultra-parabolic equation, Entropy solution, Impulsive source
Authors Kuznetsov Ivan 1,2 , Sazhenkov Sergey 1,2
Affiliations
1 Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia
2 Novosibirsk State University, Novosibirsk, Russia

Funding (1)

1 Министерство науки и высшего образования Российской Федерации FWGG-2021-0010

Abstract: Existence and uniqueness of entropy solutions of the Cauchy-Dirichlet problem for the non-autonomous ultra-parabolic equation with partial diffusivity and multiple impulsive sources is established. The limiting passage from the equation incorporating a single distributed source to the multi-impulsive equation is fulfilled, as the distributed source collapses to a parameterized multi-atomic Dirac delta measure.
Cite: Kuznetsov I. , Sazhenkov S.
Ultra-Parabolic Kolmogorov-Type Equation with Multiple Impulsive Sources
In compilation Current Trends in Analysis, its Applications and Computation. – Birkhäuser, Springer Nature Switzerland AG., 2022. – C.565-574. – ISBN 978-3-030-87501-5. DOI: 10.1007/978-3-030-87502-2_57 Scopus РИНЦ OpenAlex
Dates:
Published print: Oct 4, 2022
Identifiers:
Scopus: 2-s2.0-85139513091
Elibrary: 65678784
OpenAlex: W4312604545
Citing: Пока нет цитирований
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