This volume includes several invited lectures given at the
International Workshop "Analysis, Partial Differential Equations
and Applications," held at the Mathematical Department of Sapienza
University of Rome, on the occasion of the 70th birthday of
Vladimir G. Maz'ya, a renowned mathematician and one of the main
experts in the field of pure and applied analysis.
The book aims at spreading the seminal ideas of Maz'ya to a
larger audience in faculties of sciences and engineering. In fact,
all articles were inspired by previous works of Maz'ya in several
frameworks, including classical and contemporary problems connected
with boundary and initial value problems for elliptic, hyperbolic
and parabolic operators, Schrodinger-type equations, mathematical
theory of elasticity, potential theory, capacity, singular integral
operators, p-Laplacians, functional analysis, and approximation
theory.
Maz'ya is author of more than 450 papers and 20 books. In his
long career he obtained many astonishing and frequently cited
results in the theory of harmonic potentials on non-smooth domains,
potential and capacity theories, spaces of functions with bounded
variation, maximum principle for higher-order elliptic equations,
Sobolev multipliers, approximate approximations, etc. The topics
included in this volume will be particularly useful to all
researchers who are interested in achieving a deeper understanding
of the large expertise of Vladimir Maz'ya."
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