ON A CLASS OF ELLIPTIC OPERATORS WITH UNBOUNDED DIFFUSION COEFFICIENTS

被引：13
|
作者：
Metafune, Giorgio [1 ]
Spina, Chiara [1 ]
Tacelli, Cristian [1 ]
机构：
[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, I-73100 Lecce, Italy
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2014年 / 3卷 / 04期
关键词：
Elliptic operators; unbounded coefficients; generation results; analytic semigroups;
D O I：
10.3934/eect.2014.3.671
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that, for -infinity < alpha <= 2, 1 < p < infinity, the operator L = (1+ vertical bar x vertical bar(2))(alpha/2) Sigma(N)(i,j=1) a(i,j) (x) D-i,D-j generates an analytic semigroup in L-p(R-N) when the diffusion coefficients a(i,j) admit a limit at infinity.
引用
收藏
页码：671 / 680
页数：10
相关论文
共 50 条
  • [41] Generation of analytic semigroups by elliptic operators with unbounded diffusion, drift and potential terms
    Metoui, Imen
    JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2024, 10 (01) : 547 - 557
  • [42] Optimal L-infinity and Schauder estimates for elliptic and parabolic operators with unbounded coefficients
    Lunardi, A
    Vespri, V
    REACTION DIFFUSION SYSTEMS, 1998, 194 : 217 - 239
  • [43] Generation results for vector-valued elliptic operators with unbounded coefficients in Lp spaces
    Angiuli, Luciana
    Lorenzi, Luca
    Mangino, Elisabetta M.
    Rhandi, Abdelaziz
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 201 (03) : 1347 - 1379
  • [44] ON RADIAL SOLUTION FOR SOME ELLIPTIC EQUATIONS INVOLVING OPERATORS WITH UNBOUNDED COEFFICIENTS IN EXTERIOR DOMAINS
    Alarcon, Salomon
    de Araujo, Anderson L. A.
    Faria, Luiz F. O.
    Iturriaga, Leonelo
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2022, 60 (02) : 699 - 723
  • [45] Generation of analytic semigroups by elliptic operators with unbounded diffusion, drift and potential terms
    Imen Metoui
    Journal of Elliptic and Parabolic Equations, 2024, 10 : 547 - 557
  • [46] NONDIVERGENCE ELLIPTIC EQUATIONS WITH UNBOUNDED COEFFICIENTS
    Greco, Luigi
    Moscariello, Gioconda
    Radice, Teresa
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2009, 11 (01): : 131 - 143
  • [47] Fredholm differential operators with unbounded coefficients
    Latushkin, Y
    Tomilov, Y
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 208 (02) : 388 - 429
  • [48] Cores for parabolic operators with unbounded coefficients
    Lorenzi, Luca
    Zamboni, Alessandro
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (07) : 2724 - 2761
  • [49] BOUNDS FOR THE GRADIENT OF THE TRANSITION KERNEL FOR ELLIPTIC OPERATORS WITH UNBOUNDED DIFFUSION, DRIFT AND POTENTIAL TERMS
    Kunze, Markus
    Porfido, Marianna
    Rhandi, Abdelaziz
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (5-6): : 2141 - 2172
  • [50] Elliptic operators with unbounded diffusion and singular lower order terms in Lp-spaces
    Ali, Soumaya Belhaj
    SEMIGROUP FORUM, 2019, 98 (03) : 499 - 520
12345