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- Centre National de la Recherche ScientifiqueFR214 papers
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9 papers · 2 filters
Pointwise estimates of solutions to semilinear elliptic equations and inequalities
Alexander Grigor'yan, Igor Verbitsky
We obtain sharp pointwise estimates for positive solutions to the equation , where is an elliptic operator in divergence form, , $f\g…
A new -Antieigenvalue Condition for Ornstein-Uhlenbeck Operators
Denny Otten
In this paper we study perturbed Ornstein-Uhlenbeck operators \begin{align*} \left[ \mathcal{L}_{\infty} v\right](x) = A\triangle v(x) + \left\langle Sx,\nabla v(x)\right\rangle-B…
The Identification Problem for complex-valued Ornstein-Uhlenbeck Operators in
Denny Otten
In this paper we study perturbed Ornstein-Uhlenbeck operators \begin{align*}[\mathcal{L}_{\infty} v](x)=A\triangle v(x)+\langle Sx,\nabla v(x)\rangle-B v(x),\,x\in\mathbb{R}^d,\,d\…
Exponentially weighted resolvent estimates for complex Ornstein-Uhlenbeck systems
Denny Otten
In this paper we study differential operators of the form \begin{align*} \left[\mathcal{L}_\infty v \right](x) = A\triangle v(x) + \left\langle Sx,\nabla v(x) \right\rangle - Bv(x)…
Traveling waves and long-time behavior in a doubly nonlocal Fisher-KPP equation
Dmitri Finkelshtein, Yuri Kondratiev, Pasha Tkachov
We consider a Fisher-KPP-type equation, where both diffusion and nonlinear part are nonlocal, with anisotropic probability kernels. Under minimal conditions on the coefficients, we…
Regularity estimates for elliptic nonlocal operators
Bartlomiej Dyda, Moritz Kassmann
We study weak solutions to nonlocal equations governed by integrodifferential operators. Solutions are defined with the help of symmetric nonlocal bilinear forms. Throughout this w…