[PDF][PDF] Non-autonomous approximations governed by the fractional powers of damped wave operators
MJD Nascimento, F Bezerra - 2019 - digital.library.txstate.edu
2019•digital.library.txstate.edu
In this article we study non-autonomous approximations governed by the fractional powers
of damped wave operators of order α∈(0, 1) subject to Dirichlet boundary conditions in an n-
dimensional bounded domain with smooth boundary. We give explicitly expressions for the
fractional powers of the wave operator, we compute their resolvent operators and their
eigenvalues. Moreover, we study the convergence as α↗ 1 with rate 1-α.
of damped wave operators of order α∈(0, 1) subject to Dirichlet boundary conditions in an n-
dimensional bounded domain with smooth boundary. We give explicitly expressions for the
fractional powers of the wave operator, we compute their resolvent operators and their
eigenvalues. Moreover, we study the convergence as α↗ 1 with rate 1-α.
In this article we study non-autonomous approximations governed by the fractional powers of damped wave operators of order α ∈ (0, 1) subject to Dirichlet boundary conditions in an n-dimensional bounded domain with smooth boundary. We give explicitly expressions for the fractional powers of the wave operator, we compute their resolvent operators and their eigenvalues. Moreover, we study the convergence as α ↗ 1 with rate 1 - α.
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