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Moreover, for pressureless Euler equations, the velocity satisfies the maximum principle.
Therefore the Suita conjecture essentially asks whether the curvature of the Suita metric satisfies the maximum principle.
In particular, this implies that ({{Delta}_{mathbb{H}}}) is hypoelliptic (see [22]) and the solution of equation including ({{Delta}_{mathbb{H}}}) satisfies the maximum principle (see [20, 23]).
Here L is a linear second order elliptic operator which satisfies the maximum principle and g is positive and becomes singular uniformly in x as (urightarrow0).
Results from numerical experiments — including one example in spherical symmetry adopting the Schwarzschild metric — demonstrate that the method achieves high-order accuracy and that the distribution function satisfies the maximum principle.
In this paper we use a contraction mapping method to show that if all terms in the TRT equations except possibly the opacity are discretized implicitly, then for any Δt>0, the time-discretized TRT equations (i) have a unique solution, which (ii) satisfies the maximum principle and (iii) preserves the equilibrium (thick) diffusion limit.
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Maximum Boolean satisfiability (max-SAT) is the optimization counterpart of Boolean satisfiability (SAT), in which a variable assignment is sought to satisfy the maximum number of clauses in a Boolean formula.
Since harmonic functions that are continuous to the boundary satisfy the maximum principle [17], we obtain the uniqueness by the standard argument for linear differential equations satisfying the maximum principle.
At the initial time slot, we only need to satisfy the maximum of the expected reward at time slot k=1.
Here, we only consider the packets that satisfy the maximum end-to-end delay for real-time traffic.
This technique has a wide application, especially for equations that do not satisfy the maximum principle (cf. [20]).
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