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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 3, Pages 373–390
DOI: https://doi.org/10.4213/tmf6286 (Mi tmf6286) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Applications of Tauberian theorems in some problems in mathematical physics

Yu. N. Drozhzhinov, B. I. Zavialov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (486 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6286
Abstract: We give some multidimensional Tauberian theorems for generalized functions and show examples of their application in mathematical physics. In particular, we consider the problems of stabilizing the solutions of the Cauchy problem for the heat kernel equation, multicomponent gas diffusion, and the asymptotic Cauchy problem for a free Schrödinger equation in the norms of different Banach spaces among others.
Keywords: Tauberian theorem, generalized function, partial differential equation, holomorphic function, Schrödinger equation, Cauchy problem, Banach space.
Received: 20.03.2008
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 3, Pages 1678–1693
DOI: https://doi.org/10.1007/s11232-008-0140-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. N. Drozhzhinov, B. I. Zavialov, “Applications of Tauberian theorems in some problems in mathematical physics”, TMF, 157:3 (2008), 373–390; Theoret. and Math. Phys., 157:3 (2008), 1678–1693
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  • https://www.mathnet.ru/eng/tmf/v157/i3/p373
    • This publication is cited in the following 7 articles:
    1. Choudhary A., Raj K., Mursaleen M., “Applications of Tauberian Theorems For Double Sequences of Fuzzy Numbers Via de La Vallee Poussin Mean”, J. Intell. Fuzzy Syst., 40:6 (2021), 11799–11808  crossref  isi
    2. Yu. N. Drozhzhinov, “On a Problem of Multidimensional Tauberian Theory”, Proc. Steklov Inst. Math., 309 (2020), 97–106  mathnet  crossref  crossref  mathscinet  isi  elib
    3. Neyt L., Vindas J., “A Multidimensional Tauberian Theorem For Laplace Transforms of Ultradistributions”, Integral Transform. Spec. Funct., 31:5 (2020), 395–411  crossref  mathscinet  isi
    4. S. Pilipović, J. Vindas, “Tauberian class estimates for vector-valued distributions”, Sb. Math., 210:2 (2019), 272–296  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. Raj K., Choudhary A., “Applications of Tauberian Theorems For Cesaro Orlicz Double Sequences”, Univ. Politeh. Buchar. Sci. Bull.-Ser. A-Appl. Math. Phys., 81:3 (2019), 127–138  mathscinet  isi
    6. Yu. N. Drozhzhinov, “Multidimensional Tauberian theorems for generalized functions”, Russian Math. Surveys, 71:6 (2016), 1081–1134  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. Pilipovic S., Vindas J., “Multidimensional Tauberian Theorems For Vector-Valued Distributions”, Publ. Inst. Math.-Beograd, 95:109 (2014), 1–28  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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