Journal of Rational Mechanics and Analysis, Volume 3University of Indiana. Department of Mathematics., 1954 - Mathematics |
Contents
The General Temporally Discrete Markoff Process EBERHARD HOPF Graduate Institute for Applied Mathematics Indiana University Bloomington I... | 14 |
Operator characterization of general Markoff processes | 16 |
Iteration of a Markoff operator 220 | 20 |
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a₁ analytic analytic function arbitrary assume asymptotic B₁ boundary conditions bounded coefficients conformal radius consider constant continuous covariant derivative curve cylinder defined denote density derivatives differential equations domain electromagnetic field équations equivalent exists finite flow follows formula given gradient harmonic functions Hence holds inequality integral Kontur Kutta condition L-invariant Lemma Liapunov function linear mapping Markoff operator Markoff process Math Maxwell equations metric tensor obtain paper partial differential equations plane Proof properties proved real axis relation satisfies scalar singularities solution Substituting surface symmetric t₁ tenseur tensor tion unified theory unique V₁ value problem vanishes variables vector velocity virtue Widerstand x-plane yields zero αβ λμ ΟΣ