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Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-020-01512-8
Abstract: For a transmission problem in a truncated two-dimensional cylinder located beneath the graph of a function u , the shape derivative of the Dirichlet energy (with respect to u ) is shown to be well-defined…
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Keywords:
derivative dirichlet;
shape derivative;
transmission problem;
energy ... See more keywords
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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.017
Abstract: Abstract In this paper, we consider a one-dimensional transmission problem in a bounded domain with a delay in porous-elasticity. Using a semigroup theorem, under suitable assumption on the weight of the delay term, we establish…
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Keywords:
delay porous;
transmission problem;
porous elasticity;
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Published in 2020 at "Applicable Analysis"
DOI: 10.1080/00036811.2020.1712371
Abstract: ABSTRACT Let Ω be a bounded and smooth domain in . We study in this paper the following nonlinear transmission problem where the unknowns are and the real numbers . Actually we are looking for…
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Keywords:
horizontal transmission;
normalized solutions;
transmission problem;
problem ... See more keywords
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Published in 2019 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2017.1422605
Abstract: ABSTRACT We study an inverse spectral theory in the thermo- and photo-acoustic tomography in imaging science. Under certain non-trapping hypothesis, we study the zero set of the Fourier transform of the observation data. The zero…
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Keywords:
acoustic tomography;
photo acoustic;
thermo photo;
transmission problem ... See more keywords