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On the other hand, we obtain a sharp uniqueness class for the solutions of the wave equation. The result follows from the time analyticity of the solutions to the wave equation in the uniqueness class. In the last part, we extend the result to a wide class of linear evolution equations....
The G-compactness statement will be obtained within this bigger class. The strategy of proof is based on the proof of a similar result for so-called Friedrichs systems in a Hilbert space setting, see [2, 3]. These results are conveniently formulated for predominantly static partial differential...
This can help to escape from local optima and find diversified solutions. This approach is generally more robust to noise and disturbances in the objective function since it relies on various mutation candidate solutions. However, the convergence rate of these strategies may be slower than that of...
For each class, we generated 1,000 networks with size N sampled uniformly from [8, 15] and with average degree sampled in [4,N]. The red bars show the effects of higher-order interactions in these single networks (which facilitate cooperation in less than 50% of cases), whereas the ...
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The equivalent integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing literature. By the monotone iterative method without the assu
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Journal of Archaeological Method and Theory (2023) 30:1168–1199 https://doi.org/10.1007/s10816-023-09623-8 RESEARCH Convergent Evolution of Prehistoric Technologies: the Entropy and Diversity of Limited Solutions Aleksandr Diachenko1 · Ray John Rivers2 · Iwona ...