Zobrazeno 1 - 10
of 126
pro vyhledávání: '"osittaisdifferentiaaliyhtälöt"'
Autor:
Salo, Mikko, Tzou, Leo
Publikováno v:
Proceedings of the American Mathematical Society.
We consider the inverse problem of determining a potential in a semilinear elliptic equation from the knowledge of the Dirichlet-to-Neumann map. For bounded Euclidean domains we prove that the potential is uniquely determined by the Dirichlet-to-Neum
Autor:
Lohi, Jonni
Publikováno v:
Numerical Algorithms. 91:1261-1285
We present a systematic way to implement higher order Whitney forms in numerical methods based on discrete exterior calculus. Given a simplicial mesh, we first refine the mesh into smaller simplices which can be used to define higher order Whitney fo
Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type
Publikováno v:
Journal of the European Mathematical Society. 25:785-843
Let $\mathscr{L}$ be a smooth second-order real differential operator in divergence form on a manifold of dimension $n$. Under a bracket-generating condition, we show that the ranges of validity of spectral multiplier estimates of Mihlin--H\"ormander
Publikováno v:
Communications in Analysis and Geometry. 30:1121-1184
We consider a conformally invariant version of the Calderón problem, where the objective is to determine the conformal class of a Riemannian manifold with boundary from the Dirichlet-to-Neumann map for the conformal Laplacian. The main result states
Autor:
Jiayin Liu, Yuan Zhou
We establish a Rademacher type theorem involving Hamiltonians H(x, p) under very weak conditions in both of Euclidean and Carnot-Carathéodory spaces. In particular, H(x, p) is assumed to be only measurable in the variable x, and to be quasiconvex an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e95e8faca41d2a91a70f17086ee055d
http://urn.fi/URN:NBN:fi:jyu-202306083624
http://urn.fi/URN:NBN:fi:jyu-202306083624
We consider the recovery of a potential associated with a semi-linear wave equation on Rn+1, n > 1. We show that an unknown potential a(x, t) of the wave equation ???u + aum = 0 can be recovered in a H & ouml;lder stable way from the map u|onnx[0,T]
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b6dccd148dffb3c00ce0469d9bdf13a
http://hdl.handle.net/10138/350037
http://hdl.handle.net/10138/350037
Autor:
Vesa Julin, Giorgio Maria Saracco
Publikováno v:
Annales Fennici Mathematici
We provide a quantitative lower bound to the Cheeger constant of a set $\Omega$ in both the Euclidean and the Gaussian settings in terms of suitable asymmetry indexes. We provide examples which show that these quantitative estimates are sharp.
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Autor:
Vesa Julin, Joonas Niinikoski
Publikováno v:
Advances in Calculus of Variations. 16:391-402
We consider the flat flow approach for the mean curvature equation with forcing in an Euclidean space $\mathbb R^n$ of dimension at least 2. Our main results states that tangential balls in $\mathbb R^n$ under any flat flow with a bounded forcing ter
Autor:
Xiao Zhong, Shirsho Mukherjee
Publikováno v:
Analysis & PDE. 14:567-594
We study the regularity of minima of scalar variational integrals of $p$-growth, $1
Comment: arXiv admin note: text overlap with arXiv:1711.03284
Comment: arXiv admin note: text overlap with arXiv:1711.03284