Vladimir Gilelevich Maz'ya - Selected Books

Selected Books

  • Burago, Yu. D.; Maz'ya, V. G. (1967), "Certain questions of potential theory and function theory for regions with irregular boundaries", Zapiski Nauchnykh Seminarov LOMI (in Russian) 3: 3–152, MR 227447, Zbl 0172.14903, translated in English as Potential Theory and Function Theory on Irregular Regions, Seminars in Mathematics, V. A. Steklov Mathematical Institute, Leningrad, Vol. 3, New York: Consultants Bureau, 1969, pp. vii+68, MR 227447, Zbl 0172.14903 .
  • Gelman, I. W; Mazja, W. G. (1981), Abschätzungen für Differentialoperatoren im Halbraum, Mathematische Lehrbücher und Monogaphien, II. Albeitung: Mathematische Monographien (in German) 54, Berlin: Akademie-Verlag, p. 221, ISBN 3-7643-1275-0, MR 0644480, Zbl 0499.47028 . "Estimates for differential operators in the half space" is a definitive monograph, giving a detailed study of a priori estimates of constant coefficient matrix differential operators defined on ℝn×(0,+∞], with n ≥ 1.
  • Maz'ja, Vladimir G. (1985), Sobolev Spaces, Springer Series in Soviet Mathematics, Berlin–Heidelberg–New York: Springer-Verlag, pp. xix+486, ISBN 3-540-13589-8, ISBN 0-387-13589-8 Check |isbn= value (help), MR 817985, Zbl 0692.46023 .
  • Maz'ya, V. G.; Shaposhnikova, T. O. (1985), Theory of multipliers in spaces of differentiable functions, Monographs and Studies in Mathematics 23, Boston – London – Melbourne: Pitman Publishing Inc., pp. xiii+344, ISBN 0-273-08638-3, MR 0785568, Zbl 0645.46031 .
  • Maz'ya, V. G. (1991), "Boundary Integral Equations", in Maz'ya, V. G.; Nikol'skiǐ, S. M., Analysis IV, Encyclopaedia of Mathematical Sciences 27, Berlin, New York: Springer-Verlag, pp. 127–222, ISBN 978-3-540-51997-1 Check |isbn= value (help), MR 1098507, Zbl 0780.45002 .
  • Maz'ya, Vladimir G.; Poborchi, Sergei V. (1997), Differentiable Functions on Bad Domains, Singapore–New Jersey–London–Hong Kong: World Scientific, pp. xx+481, ISBN 981-02-2767-1, MR 1643072, Zbl 0918.46033 .
  • Kozlov, V. A.; Maz'ya, V. G.; Rossmann, J. (1997), Elliptic Boundary Value Problems in Domains with Point Singularities, Mathematical Surveys and Monographs 52, Providence, RI: American Mathematical Society, pp. x+414, ISBN 0-8218-0754-4, MR 1469972, Zbl 0947.35004 .
  • Maz'ya, Vladimir; Shaposhnikova, Tatyana (1998), Jacques Hadamard, a Universal Mathematician, History of Mathematics 14, Providence, RI and London: American Mathematical Society and London Mathematical Society, pp. xxv+574, ISBN 0-8218-0841-9, MR 1611073, Zbl 0906.01031 . There are also two revised and expanded editions: the French translation Maz'ya, Vladimir; Shaposhnikova, Tatyana (January 2005), Jacques Hadamard, un mathématicien universel, Sciences & Histoire (in French), Paris: EDP Sciences, p. 554, ISBN 2-86883-707-7, and the (further revised and expanded) Russian translation Мазья, В. Г.; Шапошникова, Т. О. (2008), Жак Адамар Легенда Математики (in Russian), Москва: ИздателЬство МЦНМО, p. 528, ISBN 978-5-94057-083-7
  • Kozlov, Vladimir; Maz'ya, Vladimir (1999), Differential Equations with Operator Coefficients, Springer Monographs in Mathematics, Berlin – Heidelberg – New York: Springer-Verlag, pp. XV+442, ISBN 3-540-65119-5, MR 1729870, Zbl 0920.35003 .
  • Kozlov, V. A.; Maz'ya, V. G.; Movchan, A. B. (1999), Asymptotic Analysis of Fields in Multi-Structures, Oxford Mathematical Monographs, Oxford: Oxford University Press, pp. xvi+282, ISBN 978-0-19-851495-4, MR 1860617, Zbl 0951.35004 .
  • Maz'ya, Vladimir G.; Nazarov, Serguei; Plamenevskij, Boris (2000), Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. Volume I, Operator Theory: Advances and Applications 110, Birkhäuser Verlag, pp. XXIV+435, ISBN 3-7643-6397-5, MR 1779977, Zbl 1127.35300 .
  • Maz'ya, Vladimir G.; Nazarov, Serguei; Plamenevskij, Boris (2000), Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. Volume II, Operator Theory: Advances and Applications 112, Birkhäuser Verlag, pp. XXIV+323, ISBN 3-7643-6398-3, MR 1779978, Zbl 1127.35301 .
  • Kozlov, V. A.; Maz'ya, V. G.; Rossmann, J. (2001), Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations, Mathematical Surveys and Monographs 85, Providence, RI: American Mathematical Society, pp. x+436, ISBN 0-8218-2727-8, MR 1788991, Zbl 0965.35003 .
  • Kuznetsov, N.; Maz'ya, V.; Vainberg, B. (2002), Linear Water Waves. A Mathematical Approach., Cambridge: Cambridge University Press, pp. xviii+513, ISBN 0-521-80853-7, MR 1925354, Zbl 0996.76001 .
  • Kresin, Gershon; Maz'ya, Vladimir G. (2007), Sharp Real-Part Theorems. A Unified Approach, Lecture Notes in Mathematics 1903, Berlin–Heidelberg–New York: Springer-Verlag, pp. xvi+140, ISBN 978-3-540-69573-8, MR 2298774, Zbl 1117.30001 .
  • Maz'ya, Vladimir; Schmidt, Gunther (2007), Approximate approximations, Mathematical Surveys and Monographs 141, Providence, RI: American Mathematical Society, pp. xiv+349, ISBN 978-0-8218-4203-4, MR 2331734, Zbl 1120.41013 .
  • Maz'ya, Vladimir G.; Shaposhnikova, Tatyana O. (2009), Theory of Sobolev multipliers. With applications to differential and integral operators, Grundlehren der Mathematischen Wissenschaft 337, Heidelberg: Springer-Verlag, pp. xiii+609, ISBN 978-3-540-69490-8, MR 2457601, Zbl 1157.46001 .
  • Maz'ya, Vladimir; Rossmann, Jürgen (2010), Elliptic Equations in Polyhedral Domains, Mathematical Surveys and Monographs 162, Providence, RI: American Mathematical Society, pp. viii+608, ISBN 978-0-8218-4983-5, MR 2641539, Zbl 1196.35005 .
  • Maz'ya, Vladimir G.; Soloviev, Alexander A. (2010), Boundary Integral Equations on Contours with Peaks, Operator Theory: Advances and Applications 196, Basel: Birkhäuser Verlag, pp. vii+342, ISBN 978-3-0346-0170-2, MR 2584276, Zbl 1179.45001 .
  • Maz'ya, Vladimir G. (2011), Sobolev Spaces. With Applications to Elliptic Partial Differential Equations., Grundlehren der Mathematischen Wissenschaften 342 (2nd revised and augmented ed.), Berlin–Heidelberg–New York: Springer Verlag, pp. xxviii+866, ISBN 978-3-642-15563-5, MR 2777530, Zbl 1217.46002 .
  • Kresin, Gershon; Maz'ya, Vladimir (2012), Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems, Mathematical Surveys and Monographs 183, Providence, RI: American Mathematical Society, pp. vii+317, ISBN 978-0-8218-8981-7, MR MR2962313, Zbl 06076518 .

Read more about this topic:  Vladimir Gilelevich Maz'ya

Famous quotes containing the words selected and/or books:

    “There is no reason why parents who work hard at a job to support a family, who nurture children during the hours at home, and who have searched for and selected the best [daycare] arrangement possible for their children need to feel anxious and guilty. It almost seems as if our culture wants parents to experience these negative feelings.”
    —Gwen Morgan (20th century)

    “I loved reading, and had a great desire of attaining knowledge; but whenever I asked questions of any kind whatsoever, I was always told, “such things were not proper for girls of my age to know.”... For “Miss must not enquire too far into things, it would turn her brain; she had better mind her needlework, and such things as were useful for women; reading and poring on books would never get me a husband.””
    —Sarah Fielding (1710–1768)