Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term
نویسندگان
چکیده
The Cauchy problem for a nonlinear elastic wave equation with viscoelastic damping terms is considered on the 3 dimensional whole space. Decay and smoothing properties of solutions are investigated when initial data sufficiently small; asymptotic profiles as t→∞ also derived.
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ژورنال
عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications
سال: 2022
ISSN: ['1873-5215', '0362-546X']
DOI: https://doi.org/10.1016/j.na.2022.112826