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Localized BMO and BLO spaces on RDspaces and applications to Schrödinger operators
1.  School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex systems, Ministry of Education, Beijing 100875, China, China, China 
[1] 
Anca Radulescu. The connected Isentropes conjecture in a space of quartic polynomials. Discrete & Continuous Dynamical Systems  A, 2007, 19 (1) : 139175. doi: 10.3934/dcds.2007.19.139 
[2] 
Andrey Kochergin. A Besicovitch cylindrical transformation with Hölder function. Electronic Research Announcements, 2015, 22: 8791. doi: 10.3934/era.2015.22.87 
[3] 
Ruyun Ma, Man Xu. Connected components of positive solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space. Discrete & Continuous Dynamical Systems  B, 2019, 24 (6) : 27012718. doi: 10.3934/dcdsb.2018271 
[4] 
Mickaël D. Chekroun, Jean Roux. Homeomorphisms group of normed vector space: Conjugacy problems and the Koopman operator. Discrete & Continuous Dynamical Systems  A, 2013, 33 (9) : 39573980. doi: 10.3934/dcds.2013.33.3957 
[5] 
Seung Jun Chang, Jae Gil Choi. Generalized transforms and generalized convolution products associated with Gaussian paths on function space. Communications on Pure & Applied Analysis, 2020, 19 (1) : 371389. doi: 10.3934/cpaa.2020019 
[6] 
Valter Pohjola. An inverse problem for the magnetic Schrödinger operator on a half space with partial data. Inverse Problems & Imaging, 2014, 8 (4) : 11691189. doi: 10.3934/ipi.2014.8.1169 
[7] 
Łukasz Struski, Jacek Tabor. Expansivity implies existence of Hölder continuous Lyapunov function. Discrete & Continuous Dynamical Systems  B, 2017, 22 (9) : 35753589. doi: 10.3934/dcdsb.2017180 
[8] 
Patrizia Pucci. Critical SchrödingerHardy systems in the Heisenberg group. Discrete & Continuous Dynamical Systems  S, 2019, 12 (2) : 375400. doi: 10.3934/dcdss.2019025 
[9] 
Yong Xia, RueyLin Sheu, ShuCherng Fang, Wenxun Xing. Double well potential function and its optimization in the $N$ dimensional real spacepart Ⅱ. Journal of Industrial & Management Optimization, 2017, 13 (3) : 13071328. doi: 10.3934/jimo.2016074 
[10] 
Prof. Dr.rer.nat Widodo. Topological entropy of shift function on the sequences space induced by expanding piecewise linear transformations. Discrete & Continuous Dynamical Systems  A, 2002, 8 (1) : 191208. doi: 10.3934/dcds.2002.8.191 
[11] 
ShuCherng Fang, David Y. Gao, GangXuan Lin, RueyLin Sheu, Wenxun Xing. Double well potential function and its optimization in the $N$ dimensional real spacepart Ⅰ. Journal of Industrial & Management Optimization, 2017, 13 (3) : 12911305. doi: 10.3934/jimo.2016073 
[12] 
Wenming He, Junzhi Cui. The estimate of the multiscale homogenization method for Green's function on Sobolev space $W^{1,q}(\Omega)$. Communications on Pure & Applied Analysis, 2012, 11 (2) : 501516. doi: 10.3934/cpaa.2012.11.501 
[13] 
Steve Hofmann, Dorina Mitrea, Marius Mitrea, Andrew J. Morris. Square function estimates in spaces of homogeneous type and on uniformly rectifiable Euclidean sets. Electronic Research Announcements, 2014, 21: 818. doi: 10.3934/era.2014.21.8 
[14] 
Boris Muha. A note on the Trace Theorem for domains which are locally subgraph of a Hölder continuous function. Networks & Heterogeneous Media, 2014, 9 (1) : 191196. doi: 10.3934/nhm.2014.9.191 
[15] 
Zhong Wang. Stability of Hasimoto solitons in energy space for a fourth order nonlinear Schrödinger type equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (7) : 40914108. doi: 10.3934/dcds.2017174 
[16] 
Ran Zhuo, Fengquan Li, Boqiang Lv. Liouville type theorems for Schrödinger system with Navier boundary conditions in a half space. Communications on Pure & Applied Analysis, 2014, 13 (3) : 977990. doi: 10.3934/cpaa.2014.13.977 
[17] 
Luis F. López, Yannick Sire. Rigidity results for nonlocal phase transitions in the Heisenberg group $\mathbb{H}$. Discrete & Continuous Dynamical Systems  A, 2014, 34 (6) : 26392656. doi: 10.3934/dcds.2014.34.2639 
[18] 
Wenning Wei. On the CauchyDirichlet problem in a half space for backward SPDEs in weighted Hölder spaces. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 53535378. doi: 10.3934/dcds.2015.35.5353 
[19] 
Sergey P. Degtyarev. On Fourier multipliers in function spaces with partial Hölder condition and their application to the linearized CahnHilliard equation with dynamic boundary conditions. Evolution Equations & Control Theory, 2015, 4 (4) : 391429. doi: 10.3934/eect.2015.4.391 
[20] 
Heping Liu, Yu Liu. Refinable functions on the Heisenberg group. Communications on Pure & Applied Analysis, 2007, 6 (3) : 775787. doi: 10.3934/cpaa.2007.6.775 
2018 Impact Factor: 0.925
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