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This article is cited in 9 scientific papers (total in 9 papers)
An identification problem of source function in the Burgers-type equation
Yuri Ya. Belov, Kirill V. Korshun
Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
Abstract:
An identification problem of source function in the Burgers-type equation is considered. Given problem is investigated in Cauchy and boundary-value cases. Sufficient conditions for existence and uniqueness of solution are obtained.
Keywords:
inverse problem, Burgers' equation, boundary-value problem, approximation.
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UDC:
517.9
Received: 29.03.2012
Received in revised form: 14.05.2012
Accepted: 13.08.2012
Citation:
Yuri Ya. Belov, Kirill V. Korshun, “An identification problem of source function in the Burgers-type equation”, J. Sib. Fed. Univ. Math. Phys., 5:4 (2012), 497–506
Citation in format AMSBIB
\Bibitem{BelKor12}
\by Yuri~Ya.~Belov, Kirill~V.~Korshun
\paper An identification problem of source function in the Burgers-type equation
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 4
\pages 497--506
\mathnet{http://mi.mathnet.ru/jsfu265}
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http://mi.mathnet.ru/eng/jsfu265 http://mi.mathnet.ru/eng/jsfu/v5/i4/p497
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Kirill V. Korshun, “On some inverse problem for a parabolic equation with a parameter”, Zhurn. SFU. Ser. Matem. i fiz., 8:3 (2015), 281–290
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Kh. M. Gamzaev, “Numerical solution of the combined inverse problem for generalized Burgers equation”, J. Math. Sci., 221:6 (2017), 833–839
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Yu. Ya. Belov, K. V. Korshun, “On solvability of some parametric inverse problem for parabolic equation”, J. Math. Sci., 228:4 (2018), 347–356
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S. G. Pyatkov, V. V. Rotko, “Ob opredelenii funktsii istochnika v kvazilineinykh parabolicheskikh zadachakh s tochechnymi usloviyami pereopredeleniya”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 9:4 (2017), 19–26
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S. G. Pyatkov, V. V. Rotko, “Inverse problems with pointwise overdetermination for some quasilinear parabolic systems”, Siberian Adv. Math., 30:2 (2020), 124–142
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Sergey G. Pyatkov, Vladislav A. Baranchuk, “On some inverse parabolic problems with pointwise overdetermination”, Zhurn. SFU. Ser. Matem. i fiz., 14:4 (2021), 463–474
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Vera G. Kopylova, Igor V. Frolenkov, “On the solvability of the identification problem for a source function in a quasilinear parabolic system of equations in bounded and unbounded domains”, Zhurn. SFU. Ser. Matem. i fiz., 14:4 (2021), 483–491
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S. G. Pyatkov, “On evolutionary inverse problems for mathematical models of heat and mass transfer”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 14:1 (2021), 5–25
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