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The last two decades changed the post-Soviet legal orders both
quantitatively and qualitatively in such a manner, which can rarely
be experienced in history. Though some of its aspects have already
been analyzed, a comprehensive study of one of these legal orders
in English is still missing. This volume attempts to fill this gap
by analyzing the transformation of the Hungarian legal order
between 1985 and 2005. It attempts to present the transformation of
the Hungarian legal order from three different aspects. Firstly, it
analyzes concrete legal questions, like the constitutional problems
of accession to the European Union, dealing with the past, the
status law, the development of minority protection, and the
relationship between international and municipal law. Secondly, it
tries to give a general theoretical overview on the last 20 years
-- in the issues of law and politics, law and economy, legitimacy
of the Constitution, law importation, culture and European
integration, changes in legal thinking, and sociological and
criminological characteristics of the transitions. Thirdly, it
takes account of changes in the established areas of Hungarian
legal science -- like constitutional law, agricultural law,
criminal law, criminal procedure, consumer protection,
environmental law, administrative law, financial law, civil law,
civil procedure and social law.
Vladimir Maz'ya: Friend and mathematician. Recollections.- On
Maz'ya's work in potential theory and the theory of function
spaces.- 1. Introduction.- 2. Embeddings and isoperimetric
inequalities.- 3. Regularity of solutions.- 4. Boundary
regularity.- 5. Nonlinear potential theory.- Maz'ya's works in the
linear theory of water waves.- 1. Introduction.- 2. The unique
solvability of the water wave problem.- 3. The Neumann-Kelvin
problem.- 4. Asymptotic expansions for transient water waves due to
brief and high-frequency disturbances.- Maz'ya's work on integral
and pseudodifferential operators.- 1. Non-elliptic operators.- 2.
Oblique derivative problem: breakthrough in the generic case of
degeneration.- 3. Estimates for differential operators in the
half-space.- 4. The characteristic Cauchy problem for hyperbolic
equations.- 5. New methods for solving ill-posed boundary value
problems.- 6. Applications of multiplier theory to integral
operators.- 7. Integral equations of harmonic potential theory on
general non-regular surfaces.- 8. Boundary integral equations on
piecewise smooth surfaces.- Contributions of V. Maz'ya to the
theory of boundary value problems in nonsmooth domains.- 1.
Maz'ya's early work on boundary value problems in nonsmooth
domains.- 2. General elliptic boundary value problems in domains
with point singularities.- 3. Boundary value problems in domains
with edges.- 4. Spectral properties of operator pencils generated
by elliptic boundary value problems in a cone.- 5. Applications to
elastostatics and hydrodynamics.- 6. Singularities of solutions to
nonlinear elliptic equations at a cone vertex.- On some potential
theoretic themes in function theory.- 1. Approximation theory.- 2.
Uniqueness properties of analytic functions.- 3. The Cauchy problem
for the Laplace equation.- Approximate approximations and their
applications.- 1. Introduction.- 2. Quasi-interpolation.- 3.
Generating functions for quasi-interpolation of high order.- 4.
Semi-analytic cubature formulas.- 5. Cubature of integral operators
over bounded domains.- 6. Approximate wavelets.- 7. Numerical
algorithms based upon approximate approximations.- Maz'ya's work on
the biography of Hadamard.- Isoperimetric inequalities and
capacities on Riemannian manifolds.- 1. Introduction.- 2. Capacity
of balls.- 3. Parabolicity of manifolds.- 4. Isoperimetric
inequality and Sobolev inequality.- 5. Capacity and the principal
frequency.- 6. Cheeger's inequality.- 7. Eigenvalues of balls on
spherically symmetric manifolds.- 8. Heat kernel on spherically
symmetric manifolds.- Multipliers of differentiable functions and
their traces.- 1. Introduction.- 2. Description and properties of
multipliers.- 3. Multipliers in the space of Bessel potentials as
traces of multipliers.- An asymptotic theory of nonlinear abstract
higher order ordinary differential equations.- Sobolev spaces for
domains with cusps.- 1. Introduction.- 2. Extension theorems.- 3.
Embedding theorems.- 4. Boundary values of Sobolev functions.-
Extension theorems for Sobolev spaces.- 1. Introduction.- 2.
Extensions with preservation of class.- 3. Estimates for the
minimal norm of an extension operator.- 4. Extensions with
deterioration of class.- Contributions of V.G. Maz'ya to analysis
of singularly perturbed boundary value problems.- 1. Introduction.-
2. Domain with a small hole.- 3. General asymptotic theory by
Maz'ya, Nazarov and Plamenevskii.- 4. Asymptotics of solutions of
boundary integral equations under a small perturbation of a
corner.- 5. Compound asymptotics for homogenization problems.- 6.
Boundary value problems in 3D-1D multi-structures.- Asymptotic
analysis of a mixed boundary value problem in a singularly
degenerating domain.- 1. Introduction.- 2. Formulation of the
problem.- 3. The leading order approximation.- A history of the
Cosserat spectrum.- 1. Introduction.- 2. The first boundary value
problem of elastostatics.- 3. The second and other boundary-value
problems.- 4. Applications and o...
The contributions in this volume are dedicated to Vladimir G.
Maz'ya and are par tially based on talks given at the conference
"Functional Analysis, Partial Differ ential Equations, and
Applications," which took place at the University of Rostock from
August 31 to September 4, 1998, to honour Prof. Maz'ya. This
conference (a satellite meeting of the ICM) gave an opportunity to
many friends and colleagues from all over the world to honour him.
This academic community is very large. The scientific field of
Prof. Maz'ya is impressively broad, which is reflected in the
variety of contributions included in the volumes. Vladimir Maz'ya
is the author and co-author of many publications (see the list of
publications at the end of this volume), the topics of which extend
from functional analysis, function theory and numerical analysis to
partial differential equations and their broad applications.
Vladimir G. Maz'ya provided significant contributions, among others
to the the ory of Sobolev spaces, the capacity theory, boundary
integral methods, qualitative and asymptotic methods of analysis of
linear and nonlinear elliptic differential equations, the Cauchy
problem for elliptic and hyperbolic equations, the theory of
multipliers in spaces of differentiable functions, maximum
principles for elliptic and parabolic systems, and boundary value
problems in domains with piecewise smooth boundaries. Surveys on
Maz'ya's work in different fields of mathematics and areas, where
he made essential contributions, form a major part of the present
first volume of The Maz'ya Anniversary Collection."
During the week of August 31 - September 4, 1998, a conference in
honour of Vladimir Maz'ya was held in Rostock as a satellite
meeting of the World Congress of Mathematicians. It was sponsored
by the German Research Founda tion (Deutsche
Forschungsgemeinschaft) and the Ministry of Education and Cul tural
Affairs of the land Mecklenburg-Vorpommern. During his forty year
career Maz'ya contributed to so many areas of mathematical analysis
that such a broad topic of the conference as "Functional Analysis,
Partial Differential Equations and Applications" sounds quite nat
al. The conference was organized by the Depart ment of Mathematics
of the University of Rostock and the Weierstrass Institute of
Applied Analysis and Stochastics in Berlin on the occasion of his
60th birth day. For many years Maz'ya was connected with
mathematicians from Berlin and Rostock through his work in
potential theory, in differential and pseudodifferen tial equations
and in approximation theory. In 1990 he was awarded an honorary
doctorate by the University of Rostock. Shortly before the meeting,
one of its organizers, an outstanding mathematician and Maz'ya's
dear friend, Siegfried Pr6Bdorf died. This was a heavy loss for the
and for the conference in particular. During the German
mathematical community meeting the rector of the University of
Rostock, Prof. Wildenhain, the director of the Weierstrass
Institute, Prof. Sprekels, and Prof. Maz'ya remembered S. Pr6Bdorf
very warmly. The conference was attended by 109 mathematicians from
21 countries, and the program included 24 invited lectures and 63
short communications."
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