# Preprint series of the Institute

List of papers in our printed series is available below. For preprints of authors involved in Neèas Center for Mathematical Modeling follow this link. Our electronic preprints are below this text.

## Electronic Preprints

The aim of this series that was established in November 2007 is to provide exposure to early versions of research papers by authors from our institute. Authors of these preprints are solely responsible for their contents. These preprints stay available on-line for up to two years and then they go off-line. Older preprints are provided upon request unless the author specifies otherwise. To submit a preprint send its .ps or .pdf version to preprint@math.cas.cz preferably as an attachment. All other related correspondence can be sent to the same address.

## Printed Series

The preprint series was founded in 1982. Its purpose is to present manuscripts of submitted or unpublished papers and reports of researchers of the Institute. The authors are fully responsible for the content of the preprints. Please contact the authors of the preprints to obtain copies.

### 2009

189 Amiran Gogatishvili, Julio S. Neves, Bohumir Opic: Compact embeddings of Bessel-potential-type spaces into generalized Hoelder spaces involving k-modulus of smoothness
188 Antonio M. Caetano, Amiran Gogatishvili, Bohumir Opic: Compact embeddings of Besov spaces involving only slowly varying smoothness
187 Bohumir Opic: The averaging integral operator between weighted Lebesgue spaces and reverse Hoelder inequalities
186 Bohumir Opic, Jiri Rakosnik: Weighted estimates for the averaging integral operator
185 I. Bock, J. Jarusek: Dynamic contact problem for a bridge modeled by a viscoelastic full von Karman system
184 Ch. Eck, J. Jarusek, M. Sofonea: A Dynamic Elastic-visco-plastic Unilateral Conract Problem with Normal Damped Response and Coulomb Friction
183 Jiri Outrata, Jiri Jarusek, Jana Stara: On optimality conditions in control of elliptic variational inequalities

### 2008

182 Amiran Gogatishvili, Julio S. Neves, Bohumir Opic: Optimal embeddings of Bessel-potential-type spaces into generalized Holder spaces involving k-modulus of smoothness
181 Ivan Straskraba, Emil Vitasek: The flow of a liquid with cavitation
180 Bernard Ducomet, Sarka Necasova: A boundary value problem for the spherically symmetric motion of a pressureless gas with a temperature-dependent viscosity
179 Bernard Ducomet, Sarka Necasova: Free boundary problem for the equations of spherically symmetric motion of compressible gas with density-dependent viscosity
178 Amiran Gogatishvili, Julio S. Neves, Bohumir Opic: Sharp Estimates of the k-Modulus of Smoothness of Bessel Potentials
177 Antonio M. Caetano, Amiran Gogatishvili, Bohumir Opic: Sharp embeddings of Bessov spaces involving only slowly varying smoothness
176 Ch. Eck, J. Jarusek: Solvability of static contact problems with Coulomb friction for othotropic material

### 2007

175 I. Bock, J. Jarusek: Solvability of dynamic contact problems for elastic von Kármán plates
174 S. Kracmar, S. Necasova, P. Penel: Anisotropic L^2-Estimates of Weak Solutions to the Stationary Oseen-Type Equations in 3D-exterior domain for a rotating body
173 Beniamin Goldys and Bohdan Maslowski: The Ornstein-Uhlenbeck bridge and applications to Markov semigroups
172 Bohdan Maslowski and Jan Pospisil: Ergodicity and parameter estimates for infinite-dimensional fractional Ornstein-Uhlenbeck process
171 Zdenek Halas and Milan Tvrdy: Singular Periodic Impulse Problems
170 Martin Doubek, Martin Markl, Petr Zima: Deformation Theory (Lecture Notes)
169 Bohumir Opic: Embeddings of Bessel-Potential-Type Spaces
168 Antonio M. Caetano, Amiran Gogatishvili, Bohumir Opic: Sharp embeddings of Besov spaces involving only logarithmic smoothness

### 2006

167 Alberto Cabada, Alexander Lomtatidze and Milan Tvrdy: Periodic Problem with Quasilinear Differential Operator and Weak Singularity
166 Eduard Feireisl and Sarka Necasova: On the motion of several rigid bodies in a viscous multipolar fluid
165 S. Kracmar, S. Necasova, P. Penel: Anisotropic L^2-Estimates of Weak Solutions to the Stationary Oseen-Type Equations in R^3 for a Rotating Body
164 Patrick Penel and Ivan Straskraba: Construction of a Lyapunov functional for 1D-viscous compressible barotropic fluid equations admitting vacuums
163 Martin Markl: Operads and Props

### 2005

162 Jiri Sremr: On the initial value problem for two-dimensional systems oflinear functional differential equations with monotone operators
161 Jiri Sremr: On the Characteristic Initial Value Problem for Linear Partial Functional-Differential Equations of Hyperbolic Type
160 A. Lomtatidze, A. Mukhigulashvili, J. Sremr: Nonnegative Solutions of the Characteristic Initial Value Problem for Linear Partial Functional-Differential Equations of Hyperbolic Type
159 Andrei Ronto: Upper Bounds for the Eigenvalues of Compact Linear Operators in a Pre-ordered Banach Space
158 Martin Markl: Cohomology Operators and the Deligne Conjecture

### 2004

157 Milan Kucera, Jan Eisner, Lutz Recke: A global bifurcation result for variational inequalities
156 Irena Rachunkova, Milan Tvrdy:  Second Order Periodic with $\phi$-Laplacian and Impulses - Part II
155 Irena Rachunkova, Milan Tvrdy:  Second Order Periodic with $\phi$-Laplacian and Impulses - Part I

### 2003

154 Jan Eisner, Milan Kucera, Lutz Recke: Direction and Stability of Bifurcation Branches for Variational Inequalities
153 Irena Rachunkova, Milan Tvrdy: Periodic Boundary Value Problems for Nonlinear Second Order Differential Equations with Impulses - Part III
152 Dagmar Medkova, Pavel Krutitskii: Neumann and Robin problems in a cracked domain with jump conditions on cracks

### 2002

151 Irena Rachunkova, Milan Tvrdy: Periodic Boundary Value Problems for Nonlinear Second Order Differential Equations with Impulses - Part II
150 Miroslav Silhavy: An O(n) invariant quasiconvex function that is not polyconvex
149
Sarka Necasova: Asymptotic properties of the steady fall of a body in viscous fluids
148 Irena Rachunkova, Milan Tvrdy: Periodic Boundary Value Problems for Nonlinear Second Order Differential Equations with Impulses - Part I
147 Pavel Krutitskij, Dagmar Medkova: The harmonic Dirichlet problem for cracked domain with jump conditions on cracks
146 Dagmar Medkova: Boundedness of the solution of the third problem for the Laplace equation
145 George V. Jaiani, Alois Kufner: Oscillation of cusped Euler Bernoulli beams and Kirchhoff-love plates
144 Emil Vitasek: Obycejne diferencialni rovnice (Elementarni metody priblizneho reseni okrajovych uloh)

### 2001

143 Sarka Necasova: Some remarks on the steady fall of body in Stokes and Oseen flow
142 Miroslav Silhavy: Relaxation in a class of SO(n)-invariant energies related to nematic elastomers
141 I. Rachunkova, M. Tvrdy, I. Vrkoc: Resonance and multliplicity in periodic boundary value problems with singularity
140 Vladimir Muller: On the Taylor functional calculus
139 Miroslav Silhavy: On the hysteresis in martensitic transformations
138 J. Eisner, M. Kucera, L. Recke: Smooth continuation and bifurcation for variational inequalities based on implicit function theorem

### 2000

137 Ivan Straskraba, Alexander Zlotnik: On a decay rate for 1D-viscous compressible barotropic fluid equations: The case of positive stationary density
136 Dagmar Medkova: Continuous extendibility of solutions of the Neumann problem for the Laplace equation
135 Irena Rachunkova, Milan Tvrdy:  On the Construction of Nonconstant Lower and Upper Functions to Second Order Nonlinear Periodic Boundary Value Problems

### 1999

134 Irena Rachunkova, Milan Tvrdy, Ivo Vrkoc:  Existence of nonnegative and nonpositive solutions for second order periodic boundary value problem
133 Vladimir Lovicar:  On the uniqueness of mild and weak solutions to the Navier-Stokes equations of incompressible fluids
132 Bohdan Maslowski, Jan Seidler:  Probabilistic approach to the strong Feller property
131 Milan Kucera, Jan Eisner:  Bifurcation of solutions to reaction-diffusion systems with jumping nonlinearities

### 1998

130 Miroslav Krbec, Hans-Juergen Schmeisser:  Imbeddings of Brézis-Wainger type. The case of missing derivatives
129 Alberto Fiorenza, Miroslav Krbec:  On decompositions in L(log L)\alpha
128 Dagmar Medkova:  Solution of the Dirichlet problem for the Laplace equation
127 Miroslav Krbec, Thomas Schott:  Superposition of imbeddings and Fefferman’s inequality
126 Miroslav Silhavy:  On isotropic rank 1 convex functions

### 1997

125 Amiran Gogatishvili, Jan Lang:  The generalized Hardy operator with kernel and variable integral limits in Banach function spaces
124 W. D. Evans, D. J. Harris, J. Lang:  Two-sided estimates for the approximation numbers of Hardy-type operators in L\infty and L1
123 Josef Kral, Dagmar Medkova:  Essential norms of a potential theoretic boundary integral operator in L1
122 Alberto Fiorenza, Miroslav Krbec:  On the domain and range of the maximal operator
121 Miroslav Silhavy:  Convexity conditions for rotationally invariant functions in two dimnsions
120 Dagmar Medkova:  Solution of the Robin problem for the Laplace equation
119 G. P. Galdi, S. Matusu-Necasova:  Existence and uniqueness of classical solutions of the equations of motion for third-grade fluids and instability of the rest state