The normal derivative lemma and surrounding issues
DE Apushkinskaya, AI Nazarov - Russian Mathematical Surveys, 2022 - iopscience.iop.org
The normal derivative lemma and surrounding issues - IOPscience This site uses cookies. By
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Getting acquainted with the fractional Laplacian
N Abatangelo, E Valdinoci - Contemporary research in elliptic PDEs and …, 2019 - Springer
These are the handouts of an undergraduate minicourse at the Università di Bari (see Fig.
1), in the context of the 2017 INdAM Intensive Period “Contemporary Research in elliptic …
1), in the context of the 2017 INdAM Intensive Period “Contemporary Research in elliptic …
A new look at the fractional Poisson problem via the logarithmic Laplacian
S Jarohs, A Saldana, T Weth - Journal of Functional Analysis, 2020 - Elsevier
We analyze the s-dependence of solutions us to the family of fractional Poisson problems (−
Δ) su= f in Ω, u≡ 0 on RN∖ Ω in an open bounded set Ω⊂ RN, s∈(0, 1). In the case where …
Δ) su= f in Ω, u≡ 0 on RN∖ Ω in an open bounded set Ω⊂ RN, s∈(0, 1). In the case where …
Blow-Up Results for Semi-Linear Structurally Damped σ-Evolution Equations
We would like to prove a blow-up result for Sobolev solutions to the Cauchy problem for
semi-linear structurally damped σ-evolution equations, where σ≥ 1 and δ∈[0, σ) are …
semi-linear structurally damped σ-evolution equations, where σ≥ 1 and δ∈[0, σ) are …
Лемма о нормальной производной и вокруг неё
ДЕ Апушкинская, АИ Назаров - Успехи математических наук, 2022 - mathnet.ru
Качественная теория уравнений в частных производных интенсивно развивается на
протяжении последнего столетия. Одним из важнейших инструментов исследования …
протяжении последнего столетия. Одним из важнейших инструментов исследования …
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green's kernel approach: Theory and applications.
H Mohebalizadeh, GE Fasshauer… - Analysis & …, 2023 - search.ebscohost.com
This paper extends the work of Fasshauer and Ye [Reproducing kernels of Sobolev spaces
via a Green kernel approach with differential operators and boundary operators, Adv …
via a Green kernel approach with differential operators and boundary operators, Adv …
Nonlocal elliptic PDEs with general nonlinearities
M Gallo - 2023 - search.proquest.com
In this thesis we investigate how the nonlocalities affect the study of different PDEs coming
from physics, and we analyze these equations under almost optimal assumptions of the …
from physics, and we analyze these equations under almost optimal assumptions of the …
Neumann conditions for the higher order s-fractional Laplacian (− Δ) su with s> 1
Neumann conditions for the higher order s-fractional Laplacian (−Δ)su with s>1 - ScienceDirect
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Green function and Martin kernel for higher-order fractional Laplacians in balls
N Abatangelo, S Jarohs, A Saldaña - Nonlinear analysis, 2018 - Elsevier
We give the explicit formulas for the Green function and the Martin kernel for all integer and
fractional powers of the Laplacian s> 1 in balls. As consequences, we deduce interior and …
fractional powers of the Laplacian s> 1 in balls. As consequences, we deduce interior and …
Integral representation of solutions to higher-order fractional Dirichlet problems on balls
N Abatangelo, S Jarohs, A Saldana - … in Contemporary Mathematics, 2018 - World Scientific
We provide closed formulas for (unique) solutions of nonhomogeneous Dirichlet problems
on balls involving any positive power s> 0 of the Laplacian. We are able to prescribe values …
on balls involving any positive power s> 0 of the Laplacian. We are able to prescribe values …