On fractional Leibniz rule for Dirichlet Laplacian in exterior domain
Discrete and Continuous Dynamical Systems. Series A, 2019 The goal of the work is to verify the fractional Leibniz rule for Dirichlet Laplacian in the exterior domain of a compact set. The key point is the proof of gradient estimates for the Dirichlet problem of the heat equation in the exterior domain.
V. Georgiev, Koichi Taniguchi
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La restricción exterior al crecimiento económico español (1870-1913) [PDF]
, 1996 Editada en la Fundación Empresa PúblicaEn este artículo se realiza una estimación de las funciones de largo plazo del comercio exterior español en los años que van de 1870 a 1913.
Herranz Loncán, Alfonso +1 more
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Analysis of positive solutions for classes of quasilinear singular problems on exterior domains
Advances in Nonlinear Analysis, 2017 We consider the ...
Chhetri Maya +2 more
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Existence and Nonexistence of Solutions to p-Laplacian Problems on Unbounded Domains
Mathematics, 2019 In this article, using a fixed point index theorem on a cone, we prove the existence and multiplicity results of positive solutions to a one-dimensional p-Laplacian problem defined on infinite intervals.
Jeongmi Jeong +2 more
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Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain [PDF]
, 2016 In this paper, we consider the asymptotic behavior of solutions to the wave equation with space-dependent damping in an exterior domain. We prove that when the damping is effective, the solution is approximated by that of the corresponding heat equation ...
M. Sobajima, Yuta Wakasugi
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Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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On the Lq-Lr estimates of the Stokes semigroup in a two dimensional exterior domain
Journal of the Mathematical Society of Japan, 1999 Wakako Dan, Y. Shibata
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, 2018 This paper deals with the local well-posedness of free boundary problems for the Navier-Stokes equations in the case where the fluid initially occupies an exterior domain \begin{document} $Ω$ \end{document} in \begin{document} $N$ \end{document ...
Y. Shibata
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Remarks on an elliptic problem arising in weighted energy estimates for wave equations with space-dependent damping term in an exterior domain [PDF]
, 2016 This paper is concerned with weighted energy estimates and di usion phenomena for the initial-boundary problem of the wave equation with space-dependent damping term in an exterior domain.
M. Sobajima, Yuta Wakasugi
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Determinants of Laplacians in Exterior Domains
, 1999 We consider classes of simply connected planar domains which are isophasal, ie, have the same scattering phase $s(ł)$ for all $ł> 0$. This is a scattering-theoretic analogue of isospectral domains. Using the heat invariants and the determinant of the Laplacian, Osgood, Phillips and Sarnak showed that each isospectral class is sequentially compact in
Hassell, Andrew, Zelditch, Steve
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