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 .