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Comparison of linear and non-linear wave equations with variable coefficients
Journal article   Open access

Comparison of linear and non-linear wave equations with variable coefficients

Bulletin of the Belgian Mathematical Society, Simon Stevin, Vol.10(2), pp.299-312
01/04/2003

Abstract

Mathematics Physical Sciences Science & Technology
This work is devoted to the description of bounded energy sequences of solutions to the equation partial derivative(t)(2)u - div(A(x). del(x)u) + \u\(p-1)u = 0 in R-t x R-x(d) where d greater than or equal to 3, 1 < p p(c) := d+2/d-2 and A is a regular function, valued in the space of d x d positive definite matrix, which is the identify outside a compact set of R-d. We obtain the same results as P. Gerard [4] about constant case (A(x) Id).
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https://doi.org/10.36045/bbms/1054818030View
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