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JOURNALS // Differentsial'nye Uravneniya

Differ. Uravn., 1987, Volume 23, Number 1, Pages 136–143 (Mi de6092)

On the solvability of inverse boundary value problems for the determination of the coefficient preceding the lower derivative in a parabolic equation
A. I. Prilepko, V. V. Solov'ev

This publication is cited in the following articles:
  1. Yu. A. Tukmacheva, S. G. Pyatkov, “Opredelenie parametra pogloscheniya v uravneniyakh konvektsii-diffuzii”, Chelyab. fiz.-matem. zhurn., 10:4 (2025), 701–714  mathnet  crossref
  2. V. L. Kamynin, “Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class $L_\infty$”, Comput. Math. Math. Phys., 61:3 (2021), 388–402  mathnet  crossref  crossref  isi  elib
  3. S. G. Pyatkov, V. V. Rotko, “Inverse problems with pointwise overdetermination for some quasilinear parabolic systems”, Siberian Adv. Math., 30:2 (2020), 124–142  mathnet  crossref  crossref
  4. E. I. Safonov, “On determination of minor coefficient in a parabolic equation of the second order”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 10:4 (2018), 30–40  mathnet  crossref  elib
  5. 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  mathnet  crossref  elib
  6. A. I. Prilepko, A. B. Kostin, V. V. Solov'ev, “Inverse source and inverse coefficients problems for elliptic and parabolic equations in Hölder and Sobolev spaces”, J. Math. Sci., 237:4 (2019), 576–594  mathnet  crossref  crossref
  7. A. B. Kostin, “Recovery of the coefficient of $u_t$ in the heat equation from a condition of nonlocal observation in time”, Comput. Math. Math. Phys., 55:1 (2015), 85–100  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  8. T. I. Bukharova, V. L. Kamynin, “Inverse problem of determining the absorption coefficient in the multidimensional heat equation with unlimited minor coefficients”, Comput. Math. Math. Phys., 55:7 (2015), 1164–1176  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  9. V. I. Maksimov, “Reconstruction of boundary disturbances: the case of Neumann boundary conditions”, Proc. Steklov Inst. Math., 2005, suppl. 1, S175–S192  mathnet  mathscinet  zmath  elib
  10. V. I. Maksimov, “The dynamical decoupled method in the input reconstruction problem”, Comput. Math. Math. Phys., 44:2 (2004), 278–288  mathnet  mathscinet  zmath
  11. V. L. Kamynin, M. Saroldi, “Nonlinear inverse problem for a higher-order parabolic equation”, Comput. Math. Math. Phys., 38:10 (1998), 1615–1623  mathnet  mathscinet  zmath
  12. I. A. Vasin, “An inverse problem of selecting a linearization coefficient for Navier–Stokes equations on the basis of integral overdetermination”, Comput. Math. Math. Phys., 36:4 (1996), 491–499  mathnet  mathscinet  zmath  isi
  13. D. G. Orlovskii, “Determination of a parameter of a parabolic equation in Hilbert's structure”, Math. Notes, 55:3 (1994), 312–317  mathnet  crossref  mathscinet  zmath  isi
  14. A. I. Prilepko, A. B. Kostin, “On certain inverse problems for parabolic equations with final and integral observation”, Russian Acad. Sci. Sb. Math., 75:2 (1993), 473–490  mathnet  crossref  mathscinet  zmath  adsnasa  isi


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