Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Guidotti, Patrick"'
Ranges of the real-valued parameters $\alpha$, $a$, $b$, and $m$ are identified for which the operator $$\mathcal{A}_{\alpha}(a,b)f(x):=x^\alpha\left(f''(x)+\frac{a}{x}f'(x)+\frac{b}{x^2}f(x)\right), \quad x>0,$$ generates an analytic semigroup in $L
Externí odkaz:
http://arxiv.org/abs/2406.16389
Autor:
Guidotti, Patrick
A kernel based method is proposed for the construction of signature (defining) functions of subsets of $\mathbb{R}^d$. The subsets can range from full dimensional manifolds (open subsets) to point clouds (a finite number of points) and include bounde
Externí odkaz:
http://arxiv.org/abs/2404.00427
Autor:
Guidotti, Patrick
We revisit the well-known Curve Shortening Flow for immersed curves in the $d$-dimensional Euclidean space. We exploit a fundamental structure of the problem to derive a new global construction of a solution, that is, a construction that is valid for
Externí odkaz:
http://arxiv.org/abs/2311.08537
Autor:
Guidotti, Patrick
We revisit the classical kernel method of approximation/interpolation theory in a very specific context motivated by the desire to obtain a robust procedure to approximate discrete data sets by (super)level sets of functions that are merely continuou
Externí odkaz:
http://arxiv.org/abs/2208.13781
Autor:
Guidotti, Patrick, Merino, Sandro
A parameter dependent perturbation of the spectrum of the scalar Laplacian is studied for a class of nonlocal and non-self-adjoint rank one perturbations. A detailed description of the perturbed spectrum is obtained both for Dirichlet boundary condit
Externí odkaz:
http://arxiv.org/abs/2007.04958
Autor:
Guidotti, Patrick, Merino, Sandro
The global asymptotic stability of the unique steady state of a nonlinear scalar parabolic equation with a nonlocal boundary condition is studied. The equation describes the evolution of the temperature profile that is subject to a feedback control l
Externí odkaz:
http://arxiv.org/abs/1909.08589
We propose an implementation of the Smooth Selection Embedding Method (SSEM) in the setting of Chebyshev polynomials. The SSEM is a hybrid fictitious domain / collocation method which solves boundary value problems in complex domains by recasting the
Externí odkaz:
http://arxiv.org/abs/1902.03713
Autor:
Agress, Daniel, Guidotti, Patrick
A new approach to the solution of boundary value problems within the so-called fictitious domain methods philosophy is proposed which avoids well known shortcomings of other fictitious domain methods, including the need to generate extensions of the
Externí odkaz:
http://arxiv.org/abs/1808.02158
Autor:
Ma, Timmy, Wood, Karen E., Xu, Di, Guidotti, Patrick, Pantano, Alessandra, Komarova, Natalia L.
There are many factors that can influence the outcome for students in a mathematics PhD program: bachelor's GPA (BGPA), bachelor's major, GRE scores, gender, Under-Represented Minority (URM) status, institution tier, etc. Are these variables equally
Externí odkaz:
http://arxiv.org/abs/1803.00595
Autor:
Guidotti, Patrick, Walker, Christoph
In this paper the model for a highly viscous droplet sliding down an inclined plane is analyzed. It is shown that, provided the slope is not too steep, the corresponding moving boundary problem possesses classical solutions. Well-posedness is lost wh
Externí odkaz:
http://arxiv.org/abs/1705.05492