Rellich inequalities in bounded domains
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01947-9
Abstract: We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in $$L^p$$ L p , $$1\le p \le \infty $$ 1 ≤ p ≤ ∞ , for functions in bounded domains vanishing… read more here.
Keywords: inequalities bounded; rellich inequalities; bounded domains;
Nonexistence of Periodic Orbits for Forced–Damped Potential Systems in Bounded Domains
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DOI: 10.1007/s00332-020-09607-y
Abstract: We prove $$L^r$$ L r -estimates on periodic solutions of periodically forced, linearly damped mechanical systems with polynomially bounded potentials. The estimates are applied to obtain a nonexistence result of periodic solutions in bounded domains,… read more here.
Keywords: damped potential; bounded domains; forced damped; orbits forced ... See more keywords
Anisotropic multiscale systems on bounded domains
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DOI: 10.1007/s10444-020-09784-0
Abstract: We establish a construction of hybrid multiscale systems on a bounded domain Ω ⊂ ℝ 2 ${\Omega } \subset \mathbb {R}^{2}$ consisting of shearlets and boundary-adapted wavelets, which satisfy several properties advantageous for applications to… read more here.
Keywords: systems bounded; anisotropic multiscale; multiscale systems; bounded domains ... See more keywords
Construction of solutions of the critical SQG equation in bounded domains
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DOI: 10.1016/j.aim.2019.05.034
Abstract: Abstract We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We construct global bounded interior Lipschitz solutions from arbitrary large bounded interior Lipschitz initial data. read more here.
Keywords: sqg equation; equation bounded; construction solutions; bounded domains ... See more keywords
Incompressible inhomogeneous fluids in bounded domains of R3 with bounded density
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2019.108394
Abstract: Abstract In this paper, we study the incompressible inhomogeneous Navier-Stokes equations in bounded domains of R 3 involving bounded density functions ρ = 1 + a . Based on the corresponding theory of Besov spaces… read more here.
Keywords: incompressible inhomogeneous; bounded domains; fluids bounded; bounded density ... See more keywords
Approximation of m-subharmonic functions on bounded domains in Cn
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.050
Abstract: Abstract Let D be a bounded domain in C n . We study approximation of (not necessarily bounded from above) m-subharmonic function D by continuous m-subharmonic ones defined on neighborhoods of D ‾ . We… read more here.
Keywords: approximation subharmonic; bounded domains; functions bounded; function ... See more keywords
Global well-posedness for the density-dependent incompressible magnetohydrodynamic flows in bounded domains
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(18)30850-6
Abstract: Abstract In this paper, we study the three-dimensional incompressible magnetohydrodynamic equations in a smooth bounded domains, in which the viscosity of the fluid and the magnetic diffusivity are concerned with density. The existence of global… read more here.
Keywords: posedness density; bounded domains; global well; well posedness ... See more keywords
Instability in large bounded domains—branched versus unbranched resonances
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DOI: 10.1088/1361-6544/ac2a15
Abstract: We study transitions from convective to absolute instability near a trivial state in large bounded domains for prototypical model problems in the presence of transport and negative nonlinear feedback. We identify two generic scenarios, depending… read more here.
Keywords: branched versus; bounded domains; large bounded; instability large ... See more keywords
A simple proof of the generalized Leibniz rule on bounded Euclidean domains
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DOI: 10.1515/forum-2020-0228
Abstract: Abstract This paper is devoted to a simple proof of the generalized Leibniz rule in bounded domains. The operators under consideration are the so-called spectral Laplacian and the restricted Laplacian. Equations involving such operators have… read more here.
Keywords: leibniz rule; rule bounded; generalized leibniz; bounded domains ... See more keywords