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On similarity solutions and blow-up spectra for a semilinear wave equation

On similarity solutions and blow-up spectra for a semilinear wave equation

We construct countable spectra of different asymptotic patterns of self-similar and approximate self-similar types for global and blow-up solutions for the semilinear wave equation <disp-formula content-type="math/mathml"> \[ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="u Subscript t t Baseline equals normal upper Delta u plus StartAbsoluteValue u EndAbsoluteValue Superscript p minus 1 Baseline u comma …