Asymptotic profile of solutions for strongly damped Klein‐Gordon equations
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DOI: 10.1002/mma.5508
Abstract: We consider the Cauchy problem in the whole space for strongly damped Klein-Gordon equations. We derive asymptotic profles of solutions with weighted initial data by a simple method introduced by R. Ikehata. The obtained results… read more here.
Keywords: profile solutions; strongly damped; klein gordon; asymptotic profile ... See more keywords
Regularization of initial inverse problem for strongly damped wave equation
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DOI: 10.1080/00036811.2017.1359560
Abstract: Abstract In this paper, we consider the problem of finding the function , from the final data and where is a linear, unbounded, self-adjoint and positive definite operator. This problem is known as the inverse… read more here.
Keywords: regularization initial; inverse problem; strongly damped; initial inverse ... See more keywords
Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations
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DOI: 10.7494/opmath.2019.39.2.297
Abstract: Global well-posedness and finite time blow up issues for some strongly damped nonlinear wave equation are investigated in the present paper. For subcritical initial energy by employing the concavity method we show a finite time… read more here.
Keywords: finite time; nonlinear wave; strongly damped; global well ... See more keywords