Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Simona Fornaro"'
Publikováno v:
manuscripta mathematica. 168:165-179
In this paper we establish a stability result for the nonnegative local weak solutions to $$\begin{aligned} u_t= \text {div} \big (|Dw|^{p-2}Dw\big ) , \quad p>1 \end{aligned}$$ where $$w= \frac{u^\gamma -1}{\gamma }$$ and $$\gamma = \frac{m+p-2}{p-1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c5267af4ea002badc52f39cb57e9581
https://doi.org/10.1007/s00229-021-01302-w
https://doi.org/10.1007/s00229-021-01302-w
We describe the spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators A = ∑ i , j = 1 n q i j D i j + ∑ i , j = 1 n b i j x j D i in L p ( R n ) , 1 ≤ p + ∞ , and in C 0 ( R n ) . We show that the spectrum of A is the sum of ( −
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b067908b7153c0248fda1b1c74f1811
https://hdl.handle.net/11587/459058
https://hdl.handle.net/11587/459058
Publikováno v:
Nonlinear Analysis. 205:112213
The aim of this paper is to present several properties of the nonnegative weak solutions to a class of very singular equations whose prototype is u t = div ( u m − 1 | D u | p − 2 D u ) , p > 1 and 3 − p m + p 2 . Namely, we prove L loc r and L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5677f8488230dd18bb3f1959311c20ae
https://doi.org/10.1016/j.na.2020.112213
https://doi.org/10.1016/j.na.2020.112213
Publikováno v:
Milan Journal of Mathematics. 83:371-395
In this paper we give some historical information about elliptic and parabolic Harnack inequalities. Then we state the main results known for Harnack inequalities of solutions to quasilinear degenerate parabolic equations. Lastly we focus our attenti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::253a7d4d068e82346e322cd247151af6
https://doi.org/10.1007/s00032-015-0240-3
https://doi.org/10.1007/s00032-015-0240-3
Publikováno v:
Journal of Mathematical Analysis and Applications. 402:308-318
We comprehensively study a one dimensional elliptic operator degenerating of first order at the boundary in an L p setting. Here the coefficient of the drift term determines the regularity and the possible boundary conditions of the problem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7137041da3d4f896b9b99fda2cd0343
https://doi.org/10.1016/j.jmaa.2013.01.030
https://doi.org/10.1016/j.jmaa.2013.01.030
Autor:
Abdelaziz Rhandi, Simona Fornaro
Publikováno v:
Discrete and Continuous Dynamical Systems. 33:5049-5058
In this paper we give sufficient conditions ensuring that the space of test functions $C_c^{\infty}(R^N)$ is a core for the operator $$L_0u=\Delta u-Mx\cdot \nabla u+\frac{\alpha}{|x|^2}u=:Lu+\frac{\alpha}{|x|^2}u,$$ and $L_0$ with domain $W_\mu^{2,p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77dc4164eccdadcb32591ca4c8243851
https://doi.org/10.3934/dcds.2013.33.5049
https://doi.org/10.3934/dcds.2013.33.5049
Publikováno v:
Recent Trends in Nonlinear Partial Differential Equations I. :179-199
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d2647e36967de3da1202b3bf26f9d2e
https://doi.org/10.1090/conm/594/11785
https://doi.org/10.1090/conm/594/11785
Autor:
Simona Fornaro, Vincenzo Vespri
Publikováno v:
Manuscripta Mathematica. 141:85-103
We prove forward, backward and elliptic Harnack type inequalities for non-negative local weak solutions of singular parabolic differential equations of type $$u_t={\rm div}{\bf A}(x, t, u, Du)$$ where A satisfies suitable structure conditions and a m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc9aa3425fd88c60dcf5de96e754dc4a
https://doi.org/10.1007/s00229-012-0562-1
https://doi.org/10.1007/s00229-012-0562-1
Autor:
Simona Fornaro, Ugo Gianazza
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 26:481-492
In the present paper we study the local behavior of non-negative weak solutions of a wide class of doubly non linear degenerate parabolic equations. We show, in particular, some lower pointwise estimates of such solutions in terms of suitable sub-pot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5839538819274db77a803f8dbbc9103
https://doi.org/10.3934/dcds.2010.26.481
https://doi.org/10.3934/dcds.2010.26.481
Publikováno v:
Journal of Differential Equations. 237:1-26
Let A:[0,τ]→L(D,X) be strongly measurable and bounded, where D, X are Banach spaces such that D↪X. We assume that the operator A(t) has maximal regularity for all t∈[0,τ]. Then we show under some additional hypothesis (viz. relative continuit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f78af5684390e34a26a5718f56607802
https://doi.org/10.1016/j.jde.2007.02.010
https://doi.org/10.1016/j.jde.2007.02.010