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20022015
most citedTopological and Dynamical Complexity of Random Neural Networks

126 citations

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Showing 2013 · math.APShow all

3 papers · 2 filters

math.AP2013★ 5 cited

Weighted Sobolev spaces for the Laplace equation in periodic infinite strips

Vuk Milisic, Ulrich Razafison

This paper establishes isomorphisms for the Laplace operator in weighted Sobolev spaces (WSS). These spaces are similar to standard Sobolev spaces, but they are endowed with weight…

math.AP2013★ 16 cited

Blow-up results for semilinear wave equations in the super-conformal case

Mohamed-Ali Hamza, Hatem Zaag

We consider the semilinear wave equation in higher dimensions with power nonlinearity in the super-conformal range, and its perturbations with lower order terms, including the Klei…

math.AP2013★ 23 cited

Blow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations

Mohamed-Ali Hamza, Hatem Zaag

We give blow-up results for the Klein-Gordon equation and other perturbations of the semilinear wave equations with superlinear power nonlinearity, in one space dimension or in hig…