Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Duse, Erik"'
Autor:
Duse, Erik, Rosén, Andreas
We prove a Weitzenb\"ock identity for general pairs of constant coefficient homogeneous first order partial differential operators, and deduce from it sufficient algebraic conditions for coerciveness and Morrey estimates under the natural 1/2 boundar
Externí odkaz:
http://arxiv.org/abs/2404.09628
Autor:
Duse, Erik
In this work we provide a survey of Fuglede's flux extensions of first order partial differential operators, a concept largely forgotten today. A long the way we also survey the classical weak and strong extensions of PDE operators and the works of F
Externí odkaz:
http://arxiv.org/abs/2401.15974
We study the limiting behavior of random lozenge tilings of the hexagon with a q-Racah weight as the size of the hexagon grows large. Based on the asymptotic behavior of the recurrence coefficients of the q-Racah polynomials, we give a new proof for
Externí odkaz:
http://arxiv.org/abs/2311.13407
Autor:
Duse, Erik
We show that the energy-momentum equations arising from inner variations whose Lagrangian satisfies a generic symmetry condition are generically ill-posed. This is done by proving that there exists a subclass of Lipschitz solutions that are also solu
Externí odkaz:
http://arxiv.org/abs/2210.16533
Autor:
Duse, Erik
We give sufficient conditions for when an autonomous elliptic Leray-Lions equation in the plane has a conformal structure. This allows the Leray-Lions equation to be linearised in a special form through the hodograph transform.
Comment: 26 pages
Comment: 26 pages
Externí odkaz:
http://arxiv.org/abs/2201.11721
Autor:
Duse, Erik
In this paper we prove a generalization of Montel's theorem for a class of first order elliptic equations with measurable coefficients involving Hodge-Dirac operators. We then apply this result to sequences of solutions of second order uniformly elli
Externí odkaz:
http://arxiv.org/abs/2011.12185
Autor:
Duse, Erik
In this paper we show how a second order scalar uniformly elliptic equation on divergence form with measurable coefficients and Dirichlet boundary conditions can be transformed into a first order elliptic system with half-Dirichlet boundary condition
Externí odkaz:
http://arxiv.org/abs/2010.15699
In this work we study the variational problem associated to dimer models, a class of models from integrable probability and statistical mechanics in dimension two which have been the focus of intense research efforts over the last decades. These mode
Externí odkaz:
http://arxiv.org/abs/2004.02599
Akademický článek
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Autor:
Duse, Erik
This thesis concerns uniformly random discrete interlacing particle sys-tems and their connections to certain random lozenge tiling models. In par-ticular it contains the first derivation of a relatively unknown universal scalinglimit, which we call
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-176652