- journal articles metadata
European Mathematical Society Publishing House
2024-03-28 22:55:19
6
https://www.ems-ph.org/meta/jmeta-stream.php?jrn=ZAA&vol=2&iss=5&update_since=2024-03-28
Zeitschrift für Analysis und ihre Anwendungen
Z. Anal. Anwend.
ZAA
0232-2064
1661-4534
Partial differential equations
Ordinary differential equations
Integral equations
Numerical analysis
10.4171/ZAA
http://www.ems-ph.org/doi/10.4171/ZAA
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2006)
2
1983
5
Oberflächeninstabilitäten magnetischer Flüssigkeiten
Klaus
Beyer
Universität Leipzig, LEIPZIG, GERMANY
We continue here the study of periodic equilibrium states of a magnetic fluid in an exterior magnetic field yet considered in [2]. In this paper we calculate holohedry-invariant equilibrium solutions on hexagonal lattices.
General
385
399
10.4171/ZAA/75
http://www.ems-ph.org/doi/10.4171/ZAA/75
Invariant forms and some structural properties of the hydrodynamic Euler equations (in Russian)
Aleksei
Dezin
Steklov Mathematical Institute, MOSCOW, RUSSIAN FEDERATION
A new invariant form of hydrodynamics Euler equations is introduced and certain qualitative properties of solutions are established.
General
401
409
10.4171/ZAA/76
http://www.ems-ph.org/doi/10.4171/ZAA/76
One-dimensional Schrödinger Operators with Ergodic Potential
Harald
Englisch
Universität Leipzig, LEIPZIG, GERMANY
In the first part of the paper the results of Luttinger and Dworin concerning the following problem of Saxon/Hutner are generalized: Which conditions guarantee that an energy value $E$ lies in the resolvent set of the Hamiltonian for an alloy, presupposing that $E$ lies in the resolvent set of the Hamiltonians of all pure components. Symmetric potentials play an particular role in this. In the third part the ground state energy is investigated for different types of the ergodie potential $V$. For comparison, examples with almost periodic potentials are given. E.g. Cordon’s result concerning eigenvalues for almost periodic potentials is generalized in the second part.
General
411
426
10.4171/ZAA/77
http://www.ems-ph.org/doi/10.4171/ZAA/77
Gleichmässige asymptotische Entwicklungen für unvollständige Integrale
Hans-Joachim
Schell
Technische Universität Chemnitz, CHEMNITZ, GERMANY
A type of integral is considered in which the integrand exp $(—g(s, t))$ has an only maximum in $t = y(s), a(s) < y(s) < b(s)$ for all (real) $s$ near $s_0$, the upper limit is $b$ and the lower limit can vary in $[a,-b]$. For integrals of this type an asymptotic expansion is derived holding for $s \to s_0$ and uniformly with respect to all $x \in [a, b]$. The results are applied to the incomplete gamma function and incomplete beta function.
General
427
442
10.4171/ZAA/78
http://www.ems-ph.org/doi/10.4171/ZAA/78
Modulation Spaces on the Euclidean $n$-Space
Hans
Triebel
Friedrich-Schiller-Universität Jena, JENA, GERMANY
The paper deals with the problem of the traces of functions belonging to modulation spaces on the basis of Fourier analysis and maximal inequalities.
General
443
457
10.4171/ZAA/79
http://www.ems-ph.org/doi/10.4171/ZAA/79
Lösung von Kontaktaufgaben bei parabolischen Randanfangswertproblemen
Johanna
Wanka
Technische Hochschule Leuna Merseburg, MERSEBURG, GERMANY
A contact boundary value problem for a $n$-dimensional second order linear parabolic differential equation is considered in this paper. By a potential statement the problem is converted into an integral equation. By investigating this equation existence and regularity theorems are obtained.
General
459
471
10.4171/ZAA/80
http://www.ems-ph.org/doi/10.4171/ZAA/80