The paper establishes non-trivial dimensional thresholds for volume vectors determined by hypergraphs of simplices via a Jacobian method leveraging distance results and a refinement for planar triangles, improving prior bounds.
Nishihara,L p-Lq estimates of solutions to the damped wave equation in 3-dimensional space and their application, Math
3 Pith papers cite this work. Polarity classification is still indexing.
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Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.
Spectral butterflies form in parameter-dependent Schrödinger operators on weighted Delone sets and reflect fractal self-similar structures, with the framework extending across dimensions and to non-Abelian groups.
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The butterflies' effects
Spectral butterflies form in parameter-dependent Schrödinger operators on weighted Delone sets and reflect fractal self-similar structures, with the framework extending across dimensions and to non-Abelian groups.