Singularities of the stationary domain for polydynamical systems
Célia Moreira (2006)
Control and Cybernetics
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Célia Moreira (2006)
Control and Cybernetics
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Buchner, Klaus (1997)
General Mathematics
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Szymon Brzostowski, Tadeusz Krasiński (2014)
Open Mathematics
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The jump of the Milnor number of an isolated singularity f 0 is the minimal non-zero difference between the Milnor numbers of f 0 and one of its deformations (f s). We prove that for the singularities in the X 9 singularity class their jumps are equal to 2.
G.M. Greuel, H. Kröning (1990)
Mathematische Zeitschrift
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E. M. Chirka (2003)
Annales Polonici Mathematici
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It is proved that any subharmonic function in a domain Ω ⊂ ℂⁿ which is plurisubharmonic outside of a real hypersurface of class C¹ is indeed plurisubharmonic in Ω.
Gert-Martin Greuel (1986)
Manuscripta mathematica
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Martin Costabel, Monique Dauge, Serge Nicaise (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider the time-harmonic eddy current problem in its electric formulation where the conductor is a polyhedral domain. By proving the convergence in energy, we justify in what sense this problem is the limit of a family of Maxwell transmission problems: Rather than a low frequency limit, this limit has to be understood in the sense of Bossavit [11]. We describe the singularities of the solutions. They are related to edge and corner singularities of certain problems for the scalar Laplace...