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Russian Mathematical Surveys, 1983, Volume 38, Issue 6, Pages 1–42
DOI: https://doi.org/10.1070/RM1983v038n06ABEH003422
(Mi rm3002)
 

This article is cited in 29 scientific papers (total in 29 papers)

Non-standard characteristics in asymptotic problems

V. P. Maslov
References:
Received: 22.06.1983
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Original paper language: Russian
Citation: V. P. Maslov, “Non-standard characteristics in asymptotic problems”, Russian Math. Surveys, 38:6 (1983), 1–42
Citation in format AMSBIB
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\by V.~P.~Maslov
\paper Non-standard characteristics in asymptotic problems
\jour Russian Math. Surveys
\yr 1983
\vol 38
\issue 6
\pages 1--42
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Linking options:
  • https://www.mathnet.ru/eng/rm3002
  • https://doi.org/10.1070/RM1983v038n06ABEH003422
  • https://www.mathnet.ru/eng/rm/v38/i6/p3
  • This publication is cited in the following 29 articles:
    1. Sarrico C.O.R. Paiva A., “Creation, Annihilation, and Interaction of Delta-Waves in Nonlinear Models: a Distributional Product Approach”, Russ. J. Math. Phys., 27:1 (2020), 111–125  crossref  isi
    2. S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. A. Tolchennikov, “Uniform Formulas for the Asymptotic Solution of a Linear Pseudodifferential Equation Describing Water Waves Generated by a Localized Source”, Russ. J. Math. Phys., 27:2 (2020), 185  crossref
    3. S. A. Sergeev, “Asymptotic Solutions of the Cauchy Problem with Localized Initial Data for a Finite-Difference Scheme Corresponding to the One-Dimensional Wave Equation”, Math. Notes, 106:5 (2019), 800–813  mathnet  crossref  crossref  mathscinet  isi  elib
    4. James Harris, Niels Jacob, Springer Proceedings in Mathematics & Statistics, 229, Stochastic Partial Differential Equations and Related Fields, 2018, 451  crossref
    5. C. O. R. Sarrico, A. Paiva, “Newton's second law and the multiplication of distributions”, Journal of Mathematical Physics, 59:1 (2018)  crossref
    6. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Punctured Lagrangian manifolds and asymptotic solutions of linear water wave equations with localized initial conditions”, Math. Notes, 101:6 (2017), 1053–1060  mathnet  crossref  crossref  mathscinet  isi  elib
    7. A. I. Allilueva, A. I. Shafarevich, “Localized Asymptotic Solutions of the Linearized System of Magnetic Hydrodynamics”, Math. Notes, 102:6 (2017), 737–745  mathnet  crossref  crossref  isi  elib
    8. Sarrico C.O.R., Paiva A., “Products of Distributions and Collision of a Delta-Wave With a Delta `-Wave in a Turbulent Model”, 22, no. 3, 2015, 381–394  crossref  isi
    9. C. O. R. Sarrico, “The Riemann problem for the Brio system: a solution containing a Dirac mass obtained via a distributional product”, Russ. J. Math. Phys., 22:4 (2015), 518  crossref
    10. C. O. R. Sarrico, “The Brio system with initial conditions involving Dirac masses: A result afforded by a distributional product”, Chin. Ann. Math. Ser. B, 35:6 (2014), 941  crossref
    11. V. P. Maslov, “Effect of a measuring instrument in the “Bose condensate” of a classical gas in a phase transition and in experiments with negative pressure”, Theoret. and Math. Phys., 175:1 (2013), 526–558  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    12. V. P. Maslov, “Critical indices as a consequence of Wiener quantization of thermodynamics”, Theoret. and Math. Phys., 170:3 (2012), 384–393  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    13. V. P. Maslov, T. V. Maslova, “Unbounded probability theory and its applications”, Theory Probab. Appl., 57:3 (2013), 444–467  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    14. Artur E. Ruuge, Freddy Van Oystaeyen, “Distortion of the Poisson Bracket by the Noncommutative Planck Constants”, Commun. Math. Phys., 304:2 (2011), 369  crossref
    15. A. Babin, A. Figotin, “Wavepacket Preservation Under Nonlinear Evolution”, Commun. Math. Phys., 278:2 (2008), 329  crossref
    16. Anatoli Babin, Alexander Figotin, International Mathematical Series, 6, Instability in Models Connected with Fluid Flows I, 2008, 53  crossref
    17. V.G. Danilov, V.M. Shelkovich, “Dynamics of propagation and interaction of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>δ</mml:mi></mml:math>-shock waves in conservation law systems”, Journal of Differential Equations, 211:2 (2005), 333  crossref
    18. V. V. Belov, S. Yu. Dobrokhotov, T. Ya. Tudorovskii, “Asymptotic Solutions of Nonrelativistic Equations of Quantum Mechanics in Curved Nanotubes: I. Reduction to Spatially One-Dimensional Equations”, Theoret. and Math. Phys., 141:2 (2004), 1562–1592  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    19. Schulze B. Sternin B. Shatalov V., “An Operator Algebra on Manifolds with Cusp-Type Singularities”, Ann. Glob. Anal. Geom., 16:2 (1998), 101–140  crossref  isi
    20. Methods of Noncommutative Analysis, 1996, 357  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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