Choi, Jae-Hwan; Kim, Kyeong-Hun; Ryu, Junhee Sobolev regularity theory for the non-local elliptic and parabolic equations on \(C^{1,1}\) open sets. (English) Zbl 1519.35354 Discrete Contin. Dyn. Syst. 43, No. 9, 3338-3377 (2023). MSC: 35R11 35B65 35S16 45K05 46E35 PDFBibTeX XMLCite \textit{J.-H. Choi} et al., Discrete Contin. Dyn. Syst. 43, No. 9, 3338--3377 (2023; Zbl 1519.35354) Full Text: DOI arXiv
Hayashi, Nakao; Naumkin, Pavel I. Modified scattering for the nonlinear nonlocal Schrödinger equation in two space dimensions. (English) Zbl 1519.35291 Discrete Contin. Dyn. Syst. 43, No. 10, 3754-3770 (2023). MSC: 35Q55 35Q41 35Q60 35S15 35G30 35B40 35B45 35P25 78A60 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Discrete Contin. Dyn. Syst. 43, No. 10, 3754--3770 (2023; Zbl 1519.35291) Full Text: DOI
Mendez, Argenis J. On Kato’s smoothing effect for a fractional version of the Zakharov-Kuznetsov equation. (English) Zbl 1514.35423 Discrete Contin. Dyn. Syst. 43, No. 5, 2047-2101 (2023). MSC: 35Q60 78A35 78A40 76Q05 76X05 35S05 35S30 35B65 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{A. J. Mendez}, Discrete Contin. Dyn. Syst. 43, No. 5, 2047--2101 (2023; Zbl 1514.35423) Full Text: DOI arXiv
Dauge, Monique; Hall, Michael A.; Vũ, Ngọc San Asymptotic lattices, good labellings, and the rotation number for quantum integrable systems. (English) Zbl 1513.81071 Discrete Contin. Dyn. Syst. 42, No. 12, 5683-5735 (2022). MSC: 81Q80 81S10 81Q20 58J40 58J50 65L09 PDFBibTeX XMLCite \textit{M. Dauge} et al., Discrete Contin. Dyn. Syst. 42, No. 12, 5683--5735 (2022; Zbl 1513.81071) Full Text: DOI arXiv
Li, Jinhui; Wang, Guangqing An \(L^q\rightarrow L^r\) estimate for rough Fourier integral operators and its applications. (English) Zbl 1498.42015 Discrete Contin. Dyn. Syst. 42, No. 11, 5387-5397 (2022). MSC: 42B10 42B20 42B37 47G30 PDFBibTeX XMLCite \textit{J. Li} and \textit{G. Wang}, Discrete Contin. Dyn. Syst. 42, No. 11, 5387--5397 (2022; Zbl 1498.42015) Full Text: DOI
Mayer, Martin; Ndiaye, Cheikh Birahim Asymptotics of the Poisson kernel and Green’s functions of the fractional conformal Laplacian. (English) Zbl 1506.53051 Discrete Contin. Dyn. Syst. 42, No. 10, 5037-5062 (2022). Reviewer: Thorsten Hertl (Freiburg) MSC: 53C21 53C25 26A33 35R11 35S05 35R01 35J08 58J60 PDFBibTeX XMLCite \textit{M. Mayer} and \textit{C. B. Ndiaye}, Discrete Contin. Dyn. Syst. 42, No. 10, 5037--5062 (2022; Zbl 1506.53051) Full Text: DOI arXiv
Kappeler, Thomas; Montalto, Riccardo Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators. (English) Zbl 1505.37086 Discrete Contin. Dyn. Syst. 42, No. 9, 4127-4201 (2022). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 37K55 37K45 35Q51 35S05 47G30 58J40 PDFBibTeX XMLCite \textit{T. Kappeler} and \textit{R. Montalto}, Discrete Contin. Dyn. Syst. 42, No. 9, 4127--4201 (2022; Zbl 1505.37086) Full Text: DOI arXiv
Charão, Ruy Coimbra; Piske, Alessandra; Ikehata, Ryo A dissipative logarithmic-Laplacian type of plate equation: asymptotic profile and decay rates. (English) Zbl 1487.35072 Discrete Contin. Dyn. Syst. 42, No. 5, 2215-2255 (2022). MSC: 35B40 35B65 35C20 35L30 35S05 33C05 PDFBibTeX XMLCite \textit{R. C. Charão} et al., Discrete Contin. Dyn. Syst. 42, No. 5, 2215--2255 (2022; Zbl 1487.35072) Full Text: DOI arXiv
Canino, Annamaria; Montoro, Luigi; Sciunzi, Berardino The jumping problem for nonlocal singular problems. (English) Zbl 1420.35485 Discrete Contin. Dyn. Syst. 39, No. 11, 6747-6760 (2019). MSC: 35S05 35S15 35R11 60G22 PDFBibTeX XMLCite \textit{A. Canino} et al., Discrete Contin. Dyn. Syst. 39, No. 11, 6747--6760 (2019; Zbl 1420.35485) Full Text: DOI
Piccoli, Benedetto; Rossi, Francesco Measure dynamics with probability vector fields and sources. (English) Zbl 1428.35085 Discrete Contin. Dyn. Syst. 39, No. 11, 6207-6230 (2019). MSC: 35F20 35F25 35B30 35S05 PDFBibTeX XMLCite \textit{B. Piccoli} and \textit{F. Rossi}, Discrete Contin. Dyn. Syst. 39, No. 11, 6207--6230 (2019; Zbl 1428.35085) Full Text: DOI arXiv
Bieganowski, Bartosz; Secchi, Simone The semirelativistic Choquard equation with a local nonlinear term. (English) Zbl 1420.35341 Discrete Contin. Dyn. Syst. 39, No. 7, 4279-4302 (2019). MSC: 35Q55 35A15 35S05 85A15 PDFBibTeX XMLCite \textit{B. Bieganowski} and \textit{S. Secchi}, Discrete Contin. Dyn. Syst. 39, No. 7, 4279--4302 (2019; Zbl 1420.35341) Full Text: DOI arXiv
Grubb, Gerd Limited regularity of solutions to fractional heat and Schrödinger equations. (English) Zbl 1415.35142 Discrete Contin. Dyn. Syst. 39, No. 6, 3609-3634 (2019). MSC: 35K05 35K35 35S11 47G30 60G52 PDFBibTeX XMLCite \textit{G. Grubb}, Discrete Contin. Dyn. Syst. 39, No. 6, 3609--3634 (2019; Zbl 1415.35142) Full Text: DOI arXiv
Zhuo, Ran; Li, Yan Nonexistence and symmetry of solutions for Schrödinger systems involving fractional Laplacian. (English) Zbl 1415.35289 Discrete Contin. Dyn. Syst. 39, No. 3, 1595-1611 (2019). MSC: 35R11 35A01 35B50 35S05 35B09 35B33 PDFBibTeX XMLCite \textit{R. Zhuo} and \textit{Y. Li}, Discrete Contin. Dyn. Syst. 39, No. 3, 1595--1611 (2019; Zbl 1415.35289) Full Text: DOI
Jin, Lingyu; Li, Yan A Hopf’s lemma and the boundary regularity for the fractional \(p\)-Laplacian. (English) Zbl 1439.35598 Discrete Contin. Dyn. Syst. 39, No. 3, 1477-1495 (2019). Reviewer: Antonio Greco (Cagliari) MSC: 35S05 35B50 35B65 35B09 35R11 PDFBibTeX XMLCite \textit{L. Jin} and \textit{Y. Li}, Discrete Contin. Dyn. Syst. 39, No. 3, 1477--1495 (2019; Zbl 1439.35598) Full Text: DOI arXiv
Abatangelo, Nicola; Dipierro, Serena; Fall, Mouhamed Moustapha; Jarohs, Sven; Saldaña, Alberto Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions. (English) Zbl 1407.35042 Discrete Contin. Dyn. Syst. 39, No. 3, 1205-1235 (2019). MSC: 35C05 35C15 35S15 35B50 PDFBibTeX XMLCite \textit{N. Abatangelo} et al., Discrete Contin. Dyn. Syst. 39, No. 3, 1205--1235 (2019; Zbl 1407.35042) Full Text: DOI arXiv
Greco, Antonio; Mascia, Vincenzino Non-local sublinear problems: existence, comparison, and radial symmetry. (English) Zbl 1406.35019 Discrete Contin. Dyn. Syst. 39, No. 1, 503-519 (2019). MSC: 35B06 35N25 35B51 35S15 35R11 35B50 PDFBibTeX XMLCite \textit{A. Greco} and \textit{V. Mascia}, Discrete Contin. Dyn. Syst. 39, No. 1, 503--519 (2019; Zbl 1406.35019) Full Text: DOI
Millot, Vincent; Sire, Yannick; Yu, Hui Minimizing fractional harmonic maps on the real line in the supercritical regime. (English) Zbl 1524.35264 Discrete Contin. Dyn. Syst. 38, No. 12, 6195-6214 (2018). MSC: 35J70 35S15 35B65 PDFBibTeX XMLCite \textit{V. Millot} et al., Discrete Contin. Dyn. Syst. 38, No. 12, 6195--6214 (2018; Zbl 1524.35264) Full Text: DOI arXiv
Cheng, Tingzhi Monotonicity and symmetry of solutions to fractional Laplacian equation. (English) Zbl 1366.35247 Discrete Contin. Dyn. Syst. 37, No. 7, 3587-3599 (2017). MSC: 35S15 35B06 35J61 35R11 PDFBibTeX XMLCite \textit{T. Cheng}, Discrete Contin. Dyn. Syst. 37, No. 7, 3587--3599 (2017; Zbl 1366.35247) Full Text: DOI
Ambrosio, Vincenzo Periodic solutions for a superlinear fractional problem without the Ambrosetti-Rabinowitz condition. (English) Zbl 1357.49020 Discrete Contin. Dyn. Syst. 37, No. 5, 2265-2284 (2017). MSC: 49J35 35A15 35R11 35J60 35S05 PDFBibTeX XMLCite \textit{V. Ambrosio}, Discrete Contin. Dyn. Syst. 37, No. 5, 2265--2284 (2017; Zbl 1357.49020) Full Text: DOI arXiv
Cordero, Elena; Nicola, Fabio; Rodino, Luigi Schrödinger equations with rough Hamiltonians. (English) Zbl 1334.35458 Discrete Contin. Dyn. Syst. 35, No. 10, 4805-4821 (2015). MSC: 35S10 35Q41 42B35 PDFBibTeX XMLCite \textit{E. Cordero} et al., Discrete Contin. Dyn. Syst. 35, No. 10, 4805--4821 (2015; Zbl 1334.35458) Full Text: DOI arXiv
Ros-Oton, Xavier; Serra, Joaquim Local integration by parts and Pohozaev identities for higher order fractional Laplacians. (English) Zbl 1302.47076 Discrete Contin. Dyn. Syst. 35, No. 5, 2131-2150 (2015). MSC: 47G30 35S15 PDFBibTeX XMLCite \textit{X. Ros-Oton} and \textit{J. Serra}, Discrete Contin. Dyn. Syst. 35, No. 5, 2131--2150 (2015; Zbl 1302.47076) Full Text: DOI arXiv
Chen, Hongqiu; Bona, Jerry L. Periodic traveling-wave solutions of nonlinear dispersive evolution equations. (English) Zbl 1277.35096 Discrete Contin. Dyn. Syst. 33, No. 11-12, 4841-4873 (2013). MSC: 35C07 35C08 35Q35 35Q51 35Q53 35S10 76B15 76B25 35C10 35Q86 86A05 PDFBibTeX XMLCite \textit{H. Chen} and \textit{J. L. Bona}, Discrete Contin. Dyn. Syst. 33, No. 11--12, 4841--4873 (2013; Zbl 1277.35096) Full Text: DOI
Dipierro, Serena; Figalli, Alessio; Palatucci, Giampiero; Valdinoci, Enrico Asymptotics of the \(s\)-perimeter as \(s \searrow 0\). (English) Zbl 1275.49083 Discrete Contin. Dyn. Syst. 33, No. 7, 2777-2790 (2013). MSC: 49Q20 49Q05 28A75 35S05 35R11 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Discrete Contin. Dyn. Syst. 33, No. 7, 2777--2790 (2013; Zbl 1275.49083) Full Text: DOI arXiv
Goldberg, Michael Strichartz estimates for Schrödinger operators with a non-smooth magnetic potential. (English) Zbl 1234.35076 Discrete Contin. Dyn. Syst. 31, No. 1, 109-118 (2011). Reviewer: Jiansheng Geng (Nanjing) MSC: 35J10 35S05 35B45 42A16 PDFBibTeX XMLCite \textit{M. Goldberg}, Discrete Contin. Dyn. Syst. 31, No. 1, 109--118 (2011; Zbl 1234.35076) Full Text: DOI arXiv
Kohn, Joseph J. Nirenberg’s contributions to complex analysis. (English) Zbl 1225.32035 Discrete Contin. Dyn. Syst. 30, No. 2, 537-545 (2011). Reviewer: Jean Ruppenthal (Wuppertal) MSC: 32T25 32T27 32T40 32W25 35H20 35N15 32-02 32-03 01A65 PDFBibTeX XMLCite \textit{J. J. Kohn}, Discrete Contin. Dyn. Syst. 30, No. 2, 537--545 (2011; Zbl 1225.32035) Full Text: DOI
Matano, Hiroshi; Mori, Yoichiro Global existence and uniqueness of a three-dimensional model of cellular electrophysiology. (English) Zbl 1215.35159 Discrete Contin. Dyn. Syst. 29, No. 4, 1573-1636 (2011). Reviewer: Sebastian Anita (Iaşi) MSC: 35Q92 35B41 35K55 35S05 92C55 92C30 PDFBibTeX XMLCite \textit{H. Matano} and \textit{Y. Mori}, Discrete Contin. Dyn. Syst. 29, No. 4, 1573--1636 (2011; Zbl 1215.35159) Full Text: DOI
Isakov, Victor; Kim, Nanhee Weak Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress. (English) Zbl 1189.35393 Discrete Contin. Dyn. Syst. 27, No. 2, 799-825 (2010). MSC: 35S05 35R30 35B45 35B35 47G30 74B10 PDFBibTeX XMLCite \textit{V. Isakov} and \textit{N. Kim}, Discrete Contin. Dyn. Syst. 27, No. 2, 799--825 (2010; Zbl 1189.35393) Full Text: DOI
Webster, Micah; Guidotti, Patrick Boundary dynamics of a two-dimensional diffusive free boundary problem. (English) Zbl 1186.35249 Discrete Contin. Dyn. Syst. 26, No. 2, 713-736 (2010). MSC: 35R35 35Q92 92C50 92F05 35A27 35C15 PDFBibTeX XMLCite \textit{M. Webster} and \textit{P. Guidotti}, Discrete Contin. Dyn. Syst. 26, No. 2, 713--736 (2010; Zbl 1186.35249) Full Text: DOI
Jordan, P. M.; Fishman, Louis Phase space and path integral approach to wave propagation modeling. (English) Zbl 1301.35008 Discrete Contin. Dyn. Syst. 2001, Suppl., 199-210 (2001). MSC: 35J05 47G30 78A45 86A15 PDFBibTeX XMLCite \textit{P. M. Jordan} and \textit{L. Fishman}, Discrete Contin. Dyn. Syst. 2001, 199--210 (2001; Zbl 1301.35008) Full Text: Link
Ribaud, Francis Semilinear parabolic equations with distributions as initial data. (English) Zbl 0949.35065 Discrete Contin. Dyn. Syst. 3, No. 3, 305-316 (1997). MSC: 35K55 35D05 35R05 35S10 46F10 35K15 PDFBibTeX XMLCite \textit{F. Ribaud}, Discrete Contin. Dyn. Syst. 3, No. 3, 305--316 (1997; Zbl 0949.35065) Full Text: DOI