Zobrazeno 1 - 10
of 1 322
pro vyhledávání: '"35K05"'
Autor:
Pont, Jaume de Dios
The hot spots conjecture asserts that for any convex bounded domain $\Omega$ in $\mathbb R^d$, the first non-trivial Neumann eigenfunction of the Laplace operator in $\Omega$ attains its maximum at the boundary. We construct counterexamples to the co
Externí odkaz:
http://arxiv.org/abs/2412.06344
In this note we review several situations in which stochastic PDEs exhibit ergodic properties. We begin with the basic dissipative conditions, as stated by Da Prato and Zabczyk in their classical monograph. Then we describe the singular case of SPDEs
Externí odkaz:
http://arxiv.org/abs/2412.03521
The excitation of plasmonic nanoparticles by incident electromagnetic waves at frequencies near their subwavelength resonances induces localized heat generation in the surrounding medium. We develop a mathematical framework to rigorously quantify thi
Externí odkaz:
http://arxiv.org/abs/2411.18091
Autor:
Bravin, Marco, Gnann, Manuel V., Knüpfer, Hans, Masmoudi, Nader, Roodenburg, Floris B., Sauer, Jonas
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge is established in an $L^{2}$-setting of monomially weighted spaces. A mathematical framework is developed which allows to o
Externí odkaz:
http://arxiv.org/abs/2411.04651
Autor:
Papageorgiou, Effie
The main goal of this work is to study the $L^p$-asymptotic behavior of solutions to the heat equation on arbitrary rank Riemannian symmetric spaces of non-compact type $G/K$ for non-bi-$K$ invariant initial data. For initial data $u_0$ compactly sup
Externí odkaz:
http://arxiv.org/abs/2411.02940
Autor:
Kogoj, Alessia E., Lanconelli, E.
Let $D\subseteq \mathbb{R}^n$, $n\geq 3$, be a bounded open set and let $x_0\in D$. Assume that the Newtonian potential of $D$ is proportional outside $D$ to the Newtonian potential of a mass concentrated at $\{x_0\}.$ Then $D$ is a Euclidean ball ce
Externí odkaz:
http://arxiv.org/abs/2411.00961
We present a novel method for reconstructing the thermal conductivity coefficient in 1D and 2D heat equations using moving sensors that dynamically traverse the domain to record sparse and noisy temperature measurements. We significantly reduce the c
Externí odkaz:
http://arxiv.org/abs/2410.22822
In this work, we study the asymptotic behaviour of solutions to the heat equation in exterior domains, i.e., domains which are the complement of a smooth compact set in $\mathbb{R}^N$. Different homogeneous boundary conditions are considered, includi
Externí odkaz:
http://arxiv.org/abs/2410.13335
In this article, motivated by the regularity theory of the solutions of doubly nonlinear parabolic partial differential equations the authors introduce the off-diagonal two-weight version of the parabolic Muckenhoupt class with time lag. Then the aut
Externí odkaz:
http://arxiv.org/abs/2410.04483
Autor:
Lakos, Gyula
We approach the convergence of the Magnus, Wilcox, and symmetric Wilcox expansions by a non-commutative heat equation derived from the Maurer-Cartan equation.
Comment: 24 pages
Comment: 24 pages
Externí odkaz:
http://arxiv.org/abs/2410.00226