Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Martino Prizzi"'
Autor:
Martino Prizzi, Daniele Del Santo
We prove uniqueness for backward parabolic equations whose coefficients are Osgood continuous in time for $t>0$ but not at $t=0$.
16 pages
16 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cffb2c2cee62dc715b0d5ec3a2b7877b
http://hdl.handle.net/11368/2988315
http://hdl.handle.net/11368/2988315
Autor:
Daniele Del Santo, Martino Prizzi
We prove some $C^\infty$ and Gevrey well-posedness results for hyperbolic equations whose coefficients lose regularity at one point.
Comment: 11 pages; revised version
Comment: 11 pages; revised version
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::214ea217043e7791cfc37dbbb7198735
We prove continuous dependence on initial data for a backward parabolic operator whose leading coefficients are Osgodd continuous in time. This result fills the gap between uniqueness and continuity results obtained so far.
Comment: 32 pages. ar
Comment: 32 pages. ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f76336714194c5eed40968c124565597
Publikováno v:
Trends in Mathematics ISBN: 9783030044589
The interest of the scientific community for the existence, uniqueness and stability of solutions to PDE's is testified by the numerous works available in the literature. In particular, in some recent publications on the subject an inequality guarant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ddf9587dfcc93f7c28506e5be3fa6b2
https://hdl.handle.net/11368/2932607
https://hdl.handle.net/11368/2932607
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 121:101-122
In this work we present an improvement of Del Santo and Prizzi (2009), where the authors proved a result concerning continuous dependence for backward-parabolic operators whose coefficients are Log-Lipschitz in t and C 2 in x . In that paper, the C 2
Publikováno v:
Journal of Dynamics and Differential Equations. 15:1-48
Let Ω be an arbitrary smooth bounded domain in $$\mathbb{R}^2 $$ and ∈ > 0 be arbitrary. Squeeze Ω by the factor ∈ in the y-direction to obtain the squeezed domain Ω ∈ = {(x,∈y)∣(x,y)∈Ω}. In this paper we study the family of reaction-
Publikováno v:
Studia Mathematica. 154:253-275
Autor:
Martino Prizzi
Publikováno v:
Fundamenta Mathematicae. 176:261-275
We consider the parabolic equation (P) utu = F(x,u), (t,x) 2 R+ × R n and the corresponding semiflowin the phase space H 1 . We give conditions on the nonlinearity F(x,u), ensuring that all bounded sets of H 1 are �-admissibile in the sense of Ryb
Autor:
Martino PRIZZI
Publikováno v:
Scopus-Elsevier
We prove the existence of a compact L^2-H^1 attractor for a reaction-diffusion equation in R^n. This improves a previous result of B. Wang concerning the existence of a compact L^2-L^2 attractor for the same equation.
6 pages; to appear on "Disc
6 pages; to appear on "Disc
Publikováno v:
Journal of Differential Equations. 173:271-320
Let Ω be an arbitrary smooth bounded domain in R M× R N and e>0 be arbitrary. Write (x, y) for a generic point of R M× R N. Squeeze Ω by the factor e in the y-direction to obtain the squeezed domain Ωe={(x, ey) ∣ (x, y)∈Ω}. Consider the fol