Method of hybrid integral transforms for analyzing direct and inverse problems for a class of equations with a pseudodifferential operator

被引:0
|
作者
Gorodetskii, V. V. [1 ]
Drin', Ya. M. [1 ]
机构
[1] Chernovtsy Natl Univ, Chernovtsy, Ukraine
关键词
Inverse Problem; Cauchy Problem; Pseudodifferential Operator; Direct Problem; Quasilinear Parabolic Equation;
D O I
10.1134/S0012266113040071
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We use the method of hybrid integral transforms to study the solvability of the direct and inverse problems for a class of equations with a pseudodifferential operator constructed from a symbol nonsmooth at zero.
引用
收藏
页码:468 / 474
页数:7
相关论文
共 50 条
  • [41] A new class of integral equations for scattering problems
    Levadoux, D
    Michielsen, B
    [J]. MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, WAVES 2003, 2003, : 227 - 232
  • [42] Relevance of Factorization Method to Differential and Integral Equations Associated with Hybrid Class of Polynomials
    Ahmad, Naeem
    Sabri, Raziya
    Khan, Mohammad Faisal
    Shadab, Mohammad
    Gupta, Anju
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (01)
  • [43] Boundary integral equations for inverse problems in the elasticity theory
    Schwab, AA
    [J]. JOURNAL OF ELASTICITY, 1995, 41 (03) : 151 - 160
  • [44] ON DIRECT AND INVERSE PROBLEMS FOR THE HOFF EQUATIONS ON GRAPH
    Sviridyuk, G. A.
    Bayazitova, A. A.
    [J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2009, (01): : 6 - 17
  • [45] Direct and Inverse Problems for Some Degenerate Equations
    Yuli Eidelman
    Angelo Favini
    [J]. Mediterranean Journal of Mathematics, 2018, 15
  • [46] Direct and inverse problems for degenerate differential equations
    Al Horani M.
    Fabrizio M.
    Favini A.
    Tanabe H.
    [J]. ANNALI DELL'UNIVERSITA' DI FERRARA, 2018, 64 (2) : 227 - 241
  • [47] NONLINEAR INTEGRAL-EQUATIONS FOR ELECTROMAGNETIC INVERSE PROBLEMS
    GOMEZTREVINO, E
    [J]. GEOPHYSICS, 1987, 52 (09) : 1297 - 1302
  • [48] Solution of elliptic inverse problems using integral equations
    Kharytonov, Alexander
    [J]. INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2006, 24 (1-2) : 69 - 77
  • [49] Direct and Inverse Problems for Some Degenerate Equations
    Eidelman, Yuli
    Favini, Angelo
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)
  • [50] INTEGRAL TRANSFORMS RELATED TO A CLASS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS
    BRAAKSMA, BL
    MEULENBE.B
    LEMEI, H
    [J]. PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1969, 72 (01): : 77 - &