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PMA Celebrates the 85th Birthday of V. G. Maz’ya
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  • Published: 24 November 2022

PMA Celebrates the 85th Birthday of V. G. Maz’ya

    Journal of Mathematical Sciences volume 268, pages 247–251 (2022)Cite this article

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    1. A. Laptev (Ed.), Around the Research of Vladimir Maz’ya. I-III. International Mathematical Series 11–13, Spinger, New York jointly published with Tamara Rozhkovskaya, Novosibirsk (2010).

    2. A. Cialdea, “The scientific work of Vladimir Maz’ya,” Anal. Math. Phys. 11, Article No. 143 (2021).

    3. V. G. Maz’ya, On modulus of continuity of a solution to the Dirichlet problem near nonregular boundary” [in Russian], Probl. Mat. Anal. 1, 45–57 (1966); Reprint: Probl. Mat. Anal. 118, 9–20 (2022); English transl.: J. Math. Sci. 268, No. 3, 252–265 (2022).

    4. Yu. D. Burago, V.G. Maz’ya, and V. D. Sapozhnikova, “To the theory of potentials of double and simple layers for domains with nonregular boundaries” [in Russian], Probl. Mat. Anal. 1, 3–33 (1966).

    5. V. G. Maz’ya and V. P. Khavin, “On the uniqueness theorem of L. Carleson for analytic functions with finite Dirichlet integral” [in Russian], Probl. Mat. Anal. 2, 153–156 (1969).

    6. V. G. Maz’ya, “On certain integral inequalities for functions of many variables” [in Russian], Probl. Mat. Anal. 3, 153–156 (1969); English transl.: J. Math. Sci. 1, No. 2, 205–234 (1973).

    7. V. G. Maz’ya, “The continuity and boundedness of functions from Sobolev spaces” [in Russian], Probl. Mat. Anal. 4, 46–77 (1973); English transl.: J. Math. Sci. 6, No. 1, 29–50 (1976).

    8. V. G. Maz’ya, “Summability of functions in Sobolev spaces” [in Russian], Probl. Mat. Anal. 5, 66–98 (1975); English transl.: J. Math. Sci. 10, No. 6, 856–886 (1978).

    9. V. G. Maz’ya, “Index of the closure of the operator of the Dirichlet problem in a domain with an irregular boundary” [in Russian], Probl. Mat. Anal. 5, 98–121 (1975); English transl.: J. Math. Sci. 10, No. 6, 886–908 (1978).

    10. V. G. Maz’ya and B. A. Plamenevskij, “Elliptic boundary value problems on manifolds with singularities” [in Russian], Probl. Mat. Anal. 6, 85–142 (1977).

    11. V. G. Maz’ya and B. A. Plamenevskij, “On the asymptotics of the fundamental solutions of elliptic boundary value problems in domains with conic points” [in Russian], Probl. Mat. Anal. 7, 100–145 (1979).

    12. V. G. Maz’ya, S. A. Nazarov, and B. A. Plamenevskij, “On the asymptotics of the solutions of elliptic boundary value problems in an irregularly perturbed domain” [in Russian], Probl. Mat. Anal. 8, 72–153 (1981).

    13. V. G. Maz’ya, S. A. Nazarov, and B. A. Plamenevskij, “Elliptic boundary-value problems in domains of the exterior-of-a-cusp type” [in Russian], Probl. Mat. Anal. 9, 105–148 (1984); English transl.: J. Math. Sci. 35, 2227–2256 (1986).

    14. N. V. Grachev and V. G. Maz’ya, “On the Fredholm radius of integral operators of potential theory” [in Russian], Probl. Mat. Anal. 11, 109–133 (1990); English transl.: J. Math. Sci. 64, No. 6, 1297–1313 (1993).

    15. V. Maz’ya, “On the boundedness of first derivatives for solutions to the Neumann-Laplace problem in a convex domain” [in Russian], Probl. Mat. Anal. 40, 105–112 (2009); English transl.: J. Math. Sci. 159, No. 1, 104–112 (2009).

    16. V. Maz’ya and S. Poborchi, “On solvability of boundary integral equations of potential theory for a multidimensional cusp domain” [in Russian], Probl. Mat. Anal. 43, 87–96 (2009); English transl.: J. Math. Sci. 164, No. 3, 403–414 (2010).

    17. A. Cialdea and V. Maz’ya, “A quasicommutativity property of the Poisson and composition operators” [in Russian], Probl. Mat. Anal. 43, 97–105 (2009); English transl.: J. Math. Sci. 164, No. 3, 415–426 (2010).

    18. G. Kresin and V.Maz’ya, “Sharp pointwise estimates for directional derivatives of harmonic functions in a multidimensional ball” [in Russian], Probl. Mat. Anal. 48, 35–52 (2010); English transl.: J. Math. Sci. 169, No. 2, 167–187 (2010).

    19. M. Dindos and V. Maz’ya, “Lp solvability of the stationary Stokes problem in domains with conical singularity in any dimension” [in Russian], Probl. Mat. Anal. 49, 3–18 (2010); English transl.: J. Math. Sci. 170, No. 1, 1–19 (2010).

    20. V. Maz’ya and S. Poborchi, “Existence and uniqueness of an energy solution to the Dirichlet problem for the Laplace equation in the exterior of a multi-dimensional paraboloid” [in Russian], Probl. Mat. Anal. 53, 95–112 (2010); English transl.: J. Math. Sci. 172, No. 4, 532–554 (2011).

    21. I. V. Kamotski and V. G. Maz’ya, “On the third boundary value problem in domains with cusps” [in Russian], Probl. Mat. Anal. 54, 145–163 (2011); English transl.: J. Math. Sci. 173, No. 5, 609–631 (2011).

    22. F. Lanzara, V. G. Maz’ya, and G. Schmidt, “Accurate cubature of volume potentials over high-dimensional half-spaces” [in Russian], Probl. Mat. Anal. 55, 37–52 (2011); English transl.: J. Math. Sci. 173, No. 6, 683–700 (2011).

    23. V. A. Galaktionov and V. Maz’ya, “Boundary characteristic point regularity for semilinear reaction-diffusion equations: towards an ODE criterion” [in Russian], Probl. Mat. Anal. 56, 35–62 (2011); English transl.: J. Math. Sci. 175, No. 3, 249–283 (2011).

    24. R. Alvarado, D. V. Brigham, V. Maz’ya, M. Mitrea, and E. Ziade, “On the regularity of domains satisfying a uniform hour-glass condition and a sharp version of the Hopf-Oleinik boundary point principle” [in Russian] Probl. Mat. Anal. 57, 3–68 (2011); English transl.: J. Math. Sci. 176, No. 3, 281–360 (2011).

    25. G. Kresin and V.Maz’ya, “Sharp real-part theorems for high order derivatives” [in Russian], Probl. Mat. Anal. 62, 3–17 (2011); English transl.: J. Math. Sci. 181, No. 2, 107–125 (2012).

    26. N. V. Grachev and V. G. Maz’ya, “Estimates for kernels of inverse operators of integral equations of elasticity on surfaces with conic points” [in Russian], Probl. Mat. Anal. 66, 39–65 (2012); English transl.: J. Math. Sci. 186, No. 2, 179–208 (2012).

    27. N. V. Grachev and V. G. Maz’ya, “Invertibility of boundary integral operators of elasticityon surfaces with conic points” [in Russian], Probl. Mat. Anal. 66, 67–88 (2012); English transl.: J. Math. Sci. 186, No. 2, 209–233 (2012).

    28. F. Lanzara, V. G. Maz’ya, and G. Schmidt, “Computation of volume potentials over bounded domains via approximate approximations” [in Russian], Probl. Mat. Anal. 68, 157–171 (2013); English transl.: J. Math. Sci. 189, No. 3, 508–524 (2013).

    29. N. V. Grachev and V. G. Maz’ya, “Solvability of boundary singular integral operators of elasticity on surfaces with conic points” [in Russian], Probl. Mat. Anal. 70, 71–84 (2013); English transl.: J. Math. Sci. 191, No. 2, 178–192 (2013).

    30. N. V. Grachev and V. G. Maz’ya, “Solvability of a boundary integral equation on a polyhedron” [in Russian], Probl. Mat. Anal. 70, 85–103 (2013); English transl.: J. Math. Sci. 191, No. 2, 193–213 (2013).

    31. R. McOwen and V. G. Maz’ya, “Second order differentiability for solutions of elliptic equations in the plane” [in Russian], Probl. Mat. Anal. 70, 129–137 (2013); English transl.: J. Math. Sci. 191, No. 2, 243–253 (2013).

    32. Yu. Alkhutov and V. G. Maz’ya, “L1,p-coercitivity and estimates of the Green function of the Neumann problem in a convex domain” [in Russian], Probl. Mat. Anal. 73, 3–16 (2013); English transl.: J. Math. Sci. 196, No. 3, 245–261 (2014).

    33. G. Kresin and V. G. Maz’ya, “Optimal pointwise estimates for derivatives of solutions to Laplace, Lame, and Stokes equations” [in Russian], Probl. Mat. Anal. 73, 53–66 (2013); English transl.: J. Math. Sci. 196, No. 3, 300–321 (2014).

    34. V. G. Maz’ya, “Notes on Holder regularity of a boundary point with respect to an elliptic operator of second order” [in Russian], Probl. Mat. Anal. 74, 117–121 (2013); English transl.: J. Math. Sci. 196, No. 4, 572–577 (2014).

    35. V. G. Maz’ya, A. B. Movchan, and M. J. Nieves, “Mesoscale approximations for solutions of the Dirichlet problem in a perforated elastic body” [in Russian], Probl. Mat. Anal. 76, 95–120 (2014); English transl.: J. Math. Sci. 202, No. 2, 215–244 (2014).

    36. G. Luo and V. G. Maz’ya, “Pointwise inequalities for elliptic boundary value problems” [in Russian], Probl. Mat. Anal. 81, 47–54 (2015); English transl.: J. Math. Sci. 210, No. 4, 391–398 (2015).

    37. F. Lanzara and V. Maz’ya, “Note on a nonstandard eigenfunction of the planar Fourier transform” [in Russian], Probl. Mat. Anal. 88, 83–86 (2017); English transl.: J. Math. Sci. 224, No. 5, 694–698 (2017).

    38. V. G. Maz’ya and A. B. Movchan, “Mesoscale approximations of fields around clusters of defects” [in Russian], Probl. Mat. Anal. 93, 39–51 (2018); English transl.: J. Math. Sci. 232, No. 4, 446–460 (2018).

    39. F. Lanzara and V. Maz’ya, “On eigenfunctions of the Fourier transform” [in Russian], Probl. Mat. Anal. 94, 59–72 (2018); English transl.: J. Math. Sci. 235, No. 2, 182–198 (2018).

    40. F. Lanzara and V. Maz’ya, “Differentiability properties of the symbol of a generalized Riesz potential with homogeneous characteristic” [in Russian], Probl. Mat. Anal. 99, 23–33 (2019); English transl.: J. Math. Sci. 242, No. 2, 200–213 (2019).

    41. F. Lanzara, V. Maz’ya, and G. Schmidt, “Approximation of solutions to nonstationary Stokes system” [in Russian], Probl. Mat. Anal. 100, 71–82 (2019); English transl.: J. Math. Sci. 244, No. 3, 436–450 (2020).

    42. A. Cialdea and V. Maz’ya, “The functional dissipativity of certain systems of partial differential equations” [in Russian] Probl. Mat. Anal. 118, 43–58 (2022); English transl.: J. Math. Sci. 268, No. 3, 291–309 (2022).

    43. F. Lanzara, V. Maz’ya, and G. Schmidt, “Approximation of solutions to equations in static thermoelasticity” [in Russian] Probl. Mat. Anal. 119, 21–31 (2022); English transl.: J. Math. Sci. 268, No. 4, 422–434 (2022).

    44. V. G. Maz’ya, A. B. Movchan, and M. J. Nieves, “Mesoscale asymptotic approximations in the dynamics of solids with defects” [in Russian] Probl. Mat. Anal. 119, 41–52 (2022); English transl.: J. Math. Sci. 268, No. 4, 443–457 (2022).

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    PMA Celebrates the 85th Birthday of V. G. Maz’ya. J Math Sci 268, 247–251 (2022). https://doi.org/10.1007/s10958-022-06196-x

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    • Received: 07 November 2022

    • Published: 24 November 2022

    • Issue Date: December 2022

    • DOI: https://doi.org/10.1007/s10958-022-06196-x

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