Ghoul, Tej-Eddine; Masmoudi, Nader; Pacherie, Eliot Nonlinear enhanced dissipation in viscous Burgers type equations. II. (English) Zbl 07793274 Commun. Partial Differ. Equations 48, No. 10-12, 1286-1322 (2023). MSC: 35Q53 35Q79 35K05 35B41 35B40 35C06 PDFBibTeX XMLCite \textit{T.-E. Ghoul} et al., Commun. Partial Differ. Equations 48, No. 10--12, 1286--1322 (2023; Zbl 07793274) Full Text: DOI arXiv
Chen, Xuantao; Lindblad, Hans Asymptotics and scattering for wave Klein-Gordon systems. (English) Zbl 1528.35146 Commun. Partial Differ. Equations 48, No. 9, 1102-1147 (2023). MSC: 35Q53 35Q75 83C05 35R30 35L55 35B40 35C20 PDFBibTeX XMLCite \textit{X. Chen} and \textit{H. Lindblad}, Commun. Partial Differ. Equations 48, No. 9, 1102--1147 (2023; Zbl 1528.35146) Full Text: DOI arXiv
Arbunich, J.; Faupin, J.; Pusateri, F.; Sigal, I. M. Maximal speed of quantum propagation for the Hartree equation. (English) Zbl 07713802 Commun. Partial Differ. Equations 48, No. 4, 542-575 (2023). MSC: 35Q55 35Q41 35Q40 81V73 81V70 35B65 37K10 35P10 PDFBibTeX XMLCite \textit{J. Arbunich} et al., Commun. Partial Differ. Equations 48, No. 4, 542--575 (2023; Zbl 07713802) Full Text: DOI arXiv
Feng, Yuanyuan; Mazzucato, Anna L. Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection. (English) Zbl 1484.35255 Commun. Partial Differ. Equations 47, No. 2, 279-306 (2022). MSC: 35K35 35K58 76E06 76F25 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{A. L. Mazzucato}, Commun. Partial Differ. Equations 47, No. 2, 279--306 (2022; Zbl 1484.35255) Full Text: DOI arXiv
Chong, Jacky; Grillakis, Manoussos; Machedon, Matei; Zhao, Zehua Global estimates for the Hartree-Fock-Bogoliubov equations. (English) Zbl 1477.35190 Commun. Partial Differ. Equations 46, No. 10, 2015-2055 (2021). MSC: 35Q40 35Q55 PDFBibTeX XMLCite \textit{J. Chong} et al., Commun. Partial Differ. Equations 46, No. 10, 2015--2055 (2021; Zbl 1477.35190) Full Text: DOI arXiv
Léger, Tristan Scattering for a particle interacting with a Bose gas. (English) Zbl 1462.35359 Commun. Partial Differ. Equations 45, No. 10, 1381-1413 (2020). MSC: 35Q55 82D05 35C08 76G25 35B40 PDFBibTeX XMLCite \textit{T. Léger}, Commun. Partial Differ. Equations 45, No. 10, 1381--1413 (2020; Zbl 1462.35359) Full Text: DOI arXiv
Lindblad, Hans; Tohaneanu, Mihai Global existence for quasilinear wave equations close to Schwarzschild. (English) Zbl 1411.35209 Commun. Partial Differ. Equations 43, No. 6, 893-944 (2018). Reviewer: Dongbing Zha (Shanghai) MSC: 35L72 35L15 35B40 35Q75 PDFBibTeX XMLCite \textit{H. Lindblad} and \textit{M. Tohaneanu}, Commun. Partial Differ. Equations 43, No. 6, 893--944 (2018; Zbl 1411.35209) Full Text: DOI arXiv
Harrop-Griffiths, Benjamin Long time behavior of solutions to the mKdV. (English) Zbl 1342.35303 Commun. Partial Differ. Equations 41, No. 2, 282-317 (2016). MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{B. Harrop-Griffiths}, Commun. Partial Differ. Equations 41, No. 2, 282--317 (2016; Zbl 1342.35303) Full Text: DOI arXiv
Erdoğan, M. Burak; Goldberg, Michael; Green, William R. Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. (English) Zbl 1325.35017 Commun. Partial Differ. Equations 39, No. 10, 1936-1964 (2014). MSC: 35J10 35P15 35Q41 35L05 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., Commun. Partial Differ. Equations 39, No. 10, 1936--1964 (2014; Zbl 1325.35017) Full Text: DOI arXiv
Blair, Matthew D. On refined local smoothing estimates for the Schrödinger equation in exterior domains. (English) Zbl 1297.35201 Commun. Partial Differ. Equations 39, No. 5, 781-805 (2014). MSC: 35Q41 35B65 35J10 35A17 42B37 35B45 PDFBibTeX XMLCite \textit{M. D. Blair}, Commun. Partial Differ. Equations 39, No. 5, 781--805 (2014; Zbl 1297.35201) Full Text: DOI arXiv
Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael Hamiltonian dynamics of a particle interacting with a wave field. (English) Zbl 1281.35084 Commun. Partial Differ. Equations 38, No. 12, 2155-2198 (2013). MSC: 35Q70 35B35 70H14 35B40 35C07 PDFBibTeX XMLCite \textit{D. Egli} et al., Commun. Partial Differ. Equations 38, No. 12, 2155--2198 (2013; Zbl 1281.35084) Full Text: DOI arXiv
Bulut, Aynur; Czubak, Magdalena; Li, Dong; Pavlović, Nataša; Zhang, Xiaoyi Stability and unconditional uniqueness of solutions for energy critical wave equations in high dimensions. (English) Zbl 1332.35007 Commun. Partial Differ. Equations 38, No. 4-6, 575-607 (2013). Reviewer: Jean-Marc Bouclet (Toulouse) MSC: 35A02 35L71 35B35 PDFBibTeX XMLCite \textit{A. Bulut} et al., Commun. Partial Differ. Equations 38, No. 4--6, 575--607 (2013; Zbl 1332.35007) Full Text: DOI arXiv
Boussaid, Nabile; Cuccagna, Scipio On stability of standing waves of nonlinear Dirac equations. (English) Zbl 1251.35098 Commun. Partial Differ. Equations 37, No. 4-6, 1001-1056 (2012). MSC: 35Q41 35B35 35B40 35Q55 PDFBibTeX XMLCite \textit{N. Boussaid} and \textit{S. Cuccagna}, Commun. Partial Differ. Equations 37, No. 4--6, 1001--1056 (2012; Zbl 1251.35098) Full Text: DOI arXiv
Beceanu, Marius; Soffer, Avy The Schrödinger equation with a potential in rough motion. (English) Zbl 1245.35099 Commun. Partial Differ. Equations 37, No. 4-6, 969-1000 (2012). MSC: 35Q41 35J10 35P25 35Q55 35Q40 81U05 PDFBibTeX XMLCite \textit{M. Beceanu} and \textit{A. Soffer}, Commun. Partial Differ. Equations 37, No. 4--6, 969--1000 (2012; Zbl 1245.35099) Full Text: DOI arXiv
Mizutani, Haruya Strichartz estimates for Schrödinger equations on scattering manifolds. (English) Zbl 1244.35020 Commun. Partial Differ. Equations 37, No. 1-3, 169-224 (2012). Reviewer: Chengbo Wang (Hangzhou) MSC: 35B45 35J10 PDFBibTeX XMLCite \textit{H. Mizutani}, Commun. Partial Differ. Equations 37, No. 1--3, 169--224 (2012; Zbl 1244.35020) Full Text: DOI Link
Bouclet, Jean-Marc Low frequency estimates and local energy decay for asymptotically Euclidian Laplacians. (English) Zbl 1227.35227 Commun. Partial Differ. Equations 36, No. 7-9, 1239-1286 (2011). Reviewer: Mihai Pascu (Bucureşti) MSC: 35P25 47A40 81U05 PDFBibTeX XMLCite \textit{J.-M. Bouclet}, Commun. Partial Differ. Equations 36, No. 7--9, 1239--1286 (2011; Zbl 1227.35227) Full Text: DOI arXiv
Goldberg, Michael A dispersive bound for three-dimensional Schrödinger operators with zero energy eigenvalues. (English) Zbl 1223.35265 Commun. Partial Differ. Equations 35, No. 9, 1610-1634 (2010). Reviewer: Nils Ackermann (Mexico City) MSC: 35Q41 81U30 35J10 47D08 PDFBibTeX XMLCite \textit{M. Goldberg}, Commun. Partial Differ. Equations 35, No. 9, 1610--1634 (2010; Zbl 1223.35265) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 1D Klein-Gordon equation. (English) Zbl 1190.35134 Commun. Partial Differ. Equations 35, No. 2, 353-374 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 35L10 34L25 47A40 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Commun. Partial Differ. Equations 35, No. 2, 353--374 (2010; Zbl 1190.35134) Full Text: DOI
Nouaili, Nejla \(\mathcal C^{1,\alpha}\) regularity of the blow-up curve at non characteristic points for the one dimensional semilinear wave equation. (English) Zbl 1158.35335 Commun. Partial Differ. Equations 33, No. 8, 1540-1548 (2008). MSC: 35D10 35L15 35L70 PDFBibTeX XMLCite \textit{N. Nouaili}, Commun. Partial Differ. Equations 33, No. 8, 1540--1548 (2008; Zbl 1158.35335) Full Text: DOI
Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. (English) Zbl 1185.35247 Commun. Partial Differ. Equations 33, No. 4, 669-705 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35Q51 35B35 35B40 37K40 PDFBibTeX XMLCite \textit{V. S. Buslaev} et al., Commun. Partial Differ. Equations 33, No. 4, 669--705 (2008; Zbl 1185.35247) Full Text: DOI arXiv
Shimomura, Akihiro Asymptotic behavior of solutions for Schrödinger equations with dissipative nonlinearities. (English) Zbl 1105.35118 Commun. Partial Differ. Equations 31, No. 9, 1407-1423 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q55 35B40 81Q05 PDFBibTeX XMLCite \textit{A. Shimomura}, Commun. Partial Differ. Equations 31, No. 9, 1407--1423 (2006; Zbl 1105.35118) Full Text: DOI
Zhang, Jian Sharp threshold for blow up and global existence in nonlinear Schrödinger equations under a harmonic potential. (English) Zbl 1081.35109 Commun. Partial Differ. Equations 30, No. 10-12, 1429-1443 (2005). MSC: 35Q55 35A15 35B30 37K45 PDFBibTeX XMLCite \textit{J. Zhang}, Commun. Partial Differ. Equations 30, No. 10--12, 1429--1443 (2005; Zbl 1081.35109) Full Text: DOI
Perelman, Galina Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations. (English) Zbl 1067.35113 Commun. Partial Differ. Equations 29, No. 7-8, 1051-1095 (2004). Reviewer: Min Ho Lee (Cedar Falls) MSC: 35Q55 37K40 35K45 PDFBibTeX XMLCite \textit{G. Perelman}, Commun. Partial Differ. Equations 29, No. 7--8, 1051--1095 (2004; Zbl 1067.35113) Full Text: DOI arXiv
Tsai, Tai-Peng; Yau, Horng-Tzer Stable directions for excited states of nonlinear Schrödinger equations. (English) Zbl 1021.35113 Commun. Partial Differ. Equations 27, No. 11-12, 2363-2402 (2002). MSC: 35Q55 81Q10 81U05 37K45 PDFBibTeX XMLCite \textit{T.-P. Tsai} and \textit{H.-T. Yau}, Commun. Partial Differ. Equations 27, No. 11--12, 2363--2402 (2002; Zbl 1021.35113) Full Text: DOI arXiv
Vasy, András; Wang, Xue Ping Smoothness and high energy asymptotics of the spectral shift function in many-body scattering. (English) Zbl 1020.35067 Commun. Partial Differ. Equations 27, No. 11-12, 2139-2186 (2002). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{A. Vasy} and \textit{X. P. Wang}, Commun. Partial Differ. Equations 27, No. 11--12, 2139--2186 (2002; Zbl 1020.35067) Full Text: DOI arXiv
Cuccagna, Scipio On the wave equation with a potential. (English) Zbl 0951.35021 Commun. Partial Differ. Equations 25, No. 7-8, 1549-1565 (2000). Reviewer: Marie Kopáčková (Praha) MSC: 35B45 35L15 PDFBibTeX XMLCite \textit{S. Cuccagna}, Commun. Partial Differ. Equations 25, No. 7--8, 1549--1565 (2000; Zbl 0951.35021) Full Text: DOI
Belchev, Eugene; Kepka, Mariusz; Zhou, Zhengfang Global existence of solutions to nonlinear wave equations. (English) Zbl 0938.35107 Commun. Partial Differ. Equations 24, No. 11-12, 2297-2331 (1999). Reviewer: R.Precup (Cluj-Napoca) MSC: 35L70 35A22 35L15 PDFBibTeX XMLCite \textit{E. Belchev} et al., Commun. Partial Differ. Equations 24, No. 11--12, 2297--2331 (1999; Zbl 0938.35107) Full Text: DOI
Hunziker, W.; Sigal, I. M.; Soffer, A. Minimal escape velocities. (English) Zbl 0944.35014 Commun. Partial Differ. Equations 24, No. 11-12, 2279-2295 (1999). Reviewer: Tuncay Aktosun (Fargo) MSC: 35J10 47N50 PDFBibTeX XMLCite \textit{W. Hunziker} et al., Commun. Partial Differ. Equations 24, No. 11--12, 2279--2295 (1999; Zbl 0944.35014) Full Text: DOI arXiv
Nakanishi, Kenji Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity. (English) Zbl 0926.35022 Commun. Partial Differ. Equations 24, No. 1-2, 185-221 (1999). Reviewer: Vadim Komkov (Florida) MSC: 35B40 35L70 35L15 PDFBibTeX XMLCite \textit{K. Nakanishi}, Commun. Partial Differ. Equations 24, No. 1--2, 185--221 (1999; Zbl 0926.35022) Full Text: DOI
Weder, Ricardo Inverse scattering for the nonlinear Schrödinger equation. (English) Zbl 0955.35077 Commun. Partial Differ. Equations 22, No. 11-12, 2089-2103 (1997). MSC: 35R30 35Q55 35P25 81U40 PDFBibTeX XMLCite \textit{R. Weder}, Commun. Partial Differ. Equations 22, No. 11--12, 2089--2103 (1997; Zbl 0955.35077) Full Text: DOI
Schonbek, Tomas; Zhou, Zhen Decay for solutions to the Schrödinger equations. (English) Zbl 0874.35014 Commun. Partial Differ. Equations 22, No. 5-6, 723-747 (1997). Reviewer: M.Perelmuter (Kiev) MSC: 35B40 35J10 PDFBibTeX XMLCite \textit{T. Schonbek} and \textit{Z. Zhou}, Commun. Partial Differ. Equations 22, No. 5--6, 723--747 (1997; Zbl 0874.35014) Full Text: DOI
Gérard, C.; Łaba, I. Scattering theory for \(N\)-particle systems in constant magnetic fields. II: Long-range interactions. (English) Zbl 0842.35069 Commun. Partial Differ. Equations 20, No. 9-10, 1791-1830 (1995). MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{C. Gérard} and \textit{I. Łaba}, Commun. Partial Differ. Equations 20, No. 9--10, 1791--1830 (1995; Zbl 0842.35069) Full Text: DOI
Kapitanski, Lev Weak and yet weaker solutions of semilinear wave equations. (English) Zbl 0831.35109 Commun. Partial Differ. Equations 19, No. 9-10, 1629-1676 (1994). Reviewer: S.A.Spagnolo (Pisa) MSC: 35L70 35L15 35D05 PDFBibTeX XMLCite \textit{L. Kapitanski}, Commun. Partial Differ. Equations 19, No. 9--10, 1629--1676 (1994; Zbl 0831.35109) Full Text: DOI
Beals, Michael Optimal \(L^ \infty\) decay for solutions to the wave equation with a potential. (English) Zbl 0818.35054 Commun. Partial Differ. Equations 19, No. 7-8, 1319-1369 (1994). MSC: 35L15 35B40 PDFBibTeX XMLCite \textit{M. Beals}, Commun. Partial Differ. Equations 19, No. 7--8, 1319--1369 (1994; Zbl 0818.35054) Full Text: DOI
Zielinski, Lech A proof of asymptotic completeness for \(N\)-body Schrödinger operators. (English) Zbl 0812.35118 Commun. Partial Differ. Equations 19, No. 3-4, 455-522 (1994). Reviewer: A.V.Aminova (Kazan’) MSC: 35Q40 81U10 PDFBibTeX XMLCite \textit{L. Zielinski}, Commun. Partial Differ. Equations 19, No. 3--4, 455--522 (1994; Zbl 0812.35118) Full Text: DOI
Feireisl, Eduard On the dynamics of semilinear damped wave equations on \(\mathbb{R}^ N\). (English) Zbl 0823.35118 Commun. Partial Differ. Equations 18, No. 12, 1981-1999 (1993). Reviewer: R.Racke (Konstanz) MSC: 35L70 35B40 PDFBibTeX XMLCite \textit{E. Feireisl}, Commun. Partial Differ. Equations 18, No. 12, 1981--1999 (1993; Zbl 0823.35118) Full Text: DOI
Beals, Michael; Strauss, Walter \(L^ p\) estimates for the wave equation with a potential. (English) Zbl 0795.35059 Commun. Partial Differ. Equations 18, No. 7-8, 1365-1397 (1993). Reviewer: W.Sadkowski (Warszawa) MSC: 35L05 35B40 35Q40 PDFBibTeX XMLCite \textit{M. Beals} and \textit{W. Strauss}, Commun. Partial Differ. Equations 18, No. 7--8, 1365--1397 (1993; Zbl 0795.35059) Full Text: DOI