[图书][B] Nonlinear potential theory of degenerate elliptic equations
J Heinonen, T Kipelainen, O Martio - 2018 - books.google.com
A self-contained treatment appropriate for advanced undergraduate and graduate students,
this volume offers a detailed development of the necessary background for its survey of the …
this volume offers a detailed development of the necessary background for its survey of the …
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
continuing to use this site you agree to our use of cookies. To find out more, see our Privacy …
continuing to use this site you agree to our use of cookies. To find out more, see our Privacy …
[图书][B] Harmonic analysis techniques for second order elliptic boundary value problems
CE Kenig - 1994 - books.google.com
In recent years, there has been a great deal of activity in the study of boundary value
problems with minimal smoothness assumptions on the coefficients or on the boundary of …
problems with minimal smoothness assumptions on the coefficients or on the boundary of …
On , , and weak type-(1, 1) estimates for linear elliptic operators: part II
We extend and improve the results in Dong and Kim (Commun Partial Differ Equ 42 (3): 417–
435, 2017): showing that weak solutions to full elliptic equations in divergence form with …
435, 2017): showing that weak solutions to full elliptic equations in divergence form with …
Boundary Harnack principle for Δ+ Δ^{𝛼/2}
For $ d\geq 1$ and $\alpha\in (0, 2) $, consider the family of pseudo-differential operators
$\{\Delta+ b\Delta^{\alpha/2}; b\in [0, 1]\} $ on $\mathbb {R}^ d $ that evolves continuously …
$\{\Delta+ b\Delta^{\alpha/2}; b\in [0, 1]\} $ on $\mathbb {R}^ d $ that evolves continuously …
A boundary Harnack principle in twisted Holder domains
The boundary Harnack principle for the ratio of positive harmonic functions is shown to hold
in twisted Holder domains of order α for α∈(1/2, 1]. For each α∈(0, 1/2), there exists a …
in twisted Holder domains of order α for α∈(1/2, 1]. For each α∈(0, 1/2), there exists a …
Behavior near the boundary of positive solutions of second order parabolic equations. II
E Fabes, M Safonov, Y Yuan - Transactions of the American Mathematical …, 1999 - ams.org
A boundary backward Harnack inequality is proved for positive solutions of second order
parabolic equations in non-divergence form in a bounded cylinder $ Q=\Omega\times\left (0 …
parabolic equations in non-divergence form in a bounded cylinder $ Q=\Omega\times\left (0 …
[HTML][HTML] New boundary Harnack inequalities with right hand side
X Ros-Oton, C Torres-Latorre - Journal of Differential Equations, 2021 - Elsevier
We prove new boundary Harnack inequalities in Lipschitz domains for equations with a right
hand side. Our main result applies to non-divergence form operators with bounded …
hand side. Our main result applies to non-divergence form operators with bounded …
Bounds for the fundamental solutions of elliptic and parabolic equations: In memory of Eugene Fabes
L Escauriaza - Communications in Partial Differential Equations, 2000 - Taylor & Francis
Bounds for the fundamental solutions of elliptic and parabolic equations: In memory of eugene
fabes Page 1 COMMUN. IN PARTIAL DIFFERENTIAL EQUATIONS, 25(5&6), 821-845 (2000) …
fabes Page 1 COMMUN. IN PARTIAL DIFFERENTIAL EQUATIONS, 25(5&6), 821-845 (2000) …
Parabolic boundary Harnack inequalities with right-hand side
C Torres-Latorre - Archive for Rational Mechanics and Analysis, 2024 - Springer
We prove the parabolic boundary Harnack inequality in parabolic flat Lipschitz domains by
blow-up techniques, allowing, for the first time, a non-zero right-hand side. Our method …
blow-up techniques, allowing, for the first time, a non-zero right-hand side. Our method …