The Maz'ya anniversary collection. Vol. 1: On Maz'ya's work in functional analysis, partial differential equations and applications. Based on talks given at the conference, Rostock, Germany, August 31--September 4, 1998 (Q1305508)

The articles of this volume will be reviewed individually. This is the first volume of a collection of articles dedicated to V. G. Maz'ya on the occasion of his 60th birthday. It contains surveys of his work in different fields of mathematics and in areas to which he made essential contributions. It starts with a 2-page introduction by Günther Wildenhain in honor of V. G. Maz'ya. Other articles of this book have their origin in the common work with Maz'ya. V. G. Maz'ya is author or co-author of more than 300 scientific works on various fields of functional analysis, function theory, numerical analysis, partial differential equations and their application. The reviews in this book shows his enormous productivity and the large variety of his work. For Vol. 2 see Zbl 0923.00035 below. Indexed articles: \textit{Gohberg, Israel}, Vladimir Maz'ya: Friend and mathematician. Recollections, 1-5 [Zbl 0939.01018] \textit{Hedberg, Lars Inge}, On Maz'ya's work in potential theory and the theory of function spaces, 7-16 [Zbl 0939.31001] \textit{Kuznetsov, N. G.; Vainberg, B. R.}, Maz'ya's works in the linear theory of water waves, 17-34 [Zbl 0937.35002] \textit{Elschner, Johannes}, The work of Vladimir Maz'ya on integral and pseudodifferential operators, 35-52 [Zbl 0940.35008] \textit{Rossmann, Jürgen}, Contributions of V. Ma'ya to the theory of boundary value problems in nonsmooth domains, 53-98 [Zbl 0936.35006] \textit{Havin, Victor P.}, On some potential theoretic themes in function theory, 99-110 [Zbl 0942.31001] \textit{Schmidt, Gunther}, Approximate approximations and their applications, 111-136 [Zbl 0941.65144] \textit{Cooke, Roger}, Maz'ya's work on the biography of Hadamard, 137-138 [Zbl 0939.01019] \textit{Grigor'yan, Alexander}, Isoperimetric inequalities and capacities on Riemannian manifolds, 139-153 [Zbl 0947.58034] \textit{Shaposhnikova, Tatyana}, Multipliers of differentiable functions and their traces, 155-169 [Zbl 0948.46025] \textit{Kozlov, Vladimir}, An asymptotic theory of nonlinear abstract higher order ordinary differential equations, 171-173 [Zbl 0940.34050] \textit{Poborchi, Sergei}, Sobolev spaces for domains with cusps, 175-185 [Zbl 0951.46013] \textit{Burenkov, Victor}, Extension theorems for Sobolev spaces, 187-200 [Zbl 0948.46026] \textit{Movchan, A. B.}, Contributions of V. G. Maz'ya to analysis of singularly perturbed boundary value problems, 201-212 [Zbl 0936.35005] \textit{Åslund, Jan}, Asymptotic analysis of a mixed boundary value problem in a singularly degenerating domain, 213-221 [Zbl 0938.35039] \textit{Kozhevnikov, Alexander}, A history of the Cosserat spectrum, 223-234 [Zbl 0936.35118] \textit{Soloviev, Alexander}, Boundary integral equations on a contour with cusp, 235-242 [Zbl 0936.31004] \textit{Eilertsen, Stefan}, On Maz'ya type inequalities for convolution operators, 243-248 [Zbl 0940.35218] \textit{Kresin, Gershon}, Sharp constants and maximum principles for elliptic and parabolic systems with continuous boundary data, 249-306 [Zbl 0939.35003] \textit{Langer, Mikael}, \(L^p\)-contractivity of semigroups generated by parabolic matrix differential operators, 307-330 [Zbl 0954.47031] Curriculum vitae of Vladimir Maz'ya, 331-333 [Zbl 0939.01020] Publications of Vladimir Maz'ya, 335-364 [Zbl 0938.01036]