Xu, Chao-Jiang; Xu, Yan The analytic Gelfand-Shilov smoothing effect of the Landau equation with hard potential. (English) Zbl 07941669 J. Differ. Equations 414, 645-681 (2025). MSC: 35B65 35F25 35R09 76P05 82C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Chaojiang; Xu, Yan A remark about time-analyticity of the linear Landau equation with soft potential. (English) Zbl 07959279 Anal. Theory Appl. 40, No. 1, 22-37 (2024). MSC: 35B65 76P05 82C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Shuaikun; Yang, Tong Existence and smoothing effect of measure valued solution to the homogeneous Boltzmann equation with Debye-Yukawa potential. (English) Zbl 1546.35134 SIAM J. Math. Anal. 56, No. 5, 5969-5994 (2024). MSC: 35Q20 76P05 35H20 82B40 82C40 35B65 35D30 35A01 35A02 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hao-Guang Gevrey and Gelfand-Shilov smoothing effect for the spatially inhomogeneous Landau equation with hard potentials. (English) Zbl 1542.35100 Nonlinearity 37, No. 5, Article ID 055012, 38 p. (2024). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 35B65 35Q20 35Q49 35H10 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Chaojiang; Xu, Yan Analytic smoothing effect of the time variable for the spatially homogeneous Landau equation. (English) Zbl 1549.35130 J. Partial Differ. Equations 37, No. 1, 88-103 (2024). MSC: 35B65 76P05 82C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miao, Changxing; Zheng, Xiaoxin Global regularity and decay behavior for Leray equations with critical-dissipation and its application to self-similar solutions. (English) Zbl 1540.35294 Trans. Am. Math. Soc. 377, No. 6, 4365-4433 (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q30 35B40 76D05 35D30 35B65 35C06 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rivera, Jaime Muñoz; Ochoa, Elena Ochoa; Quintanilla, Ramón Gevrey class for locally three-phase-lag thermoelastic beam system. (English) Zbl 1537.35335 Appl. Math. Optim. 89, No. 2, Paper No. 51, 27 p. (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q74 35Q79 35K05 74F05 74K10 35B65 35R07 47D03 × Cite Format Result Cite Review PDF Full Text: DOI
Federico, Serena; Ruzhansky, Michael Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. (English) Zbl 1535.35028 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113500, 19 p. (2024). MSC: 35B65 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Isom, Bradley; Mantzavinos, Dionyssios; Stefanov, Atanas Growth bound and nonlinear smoothing for the periodic derivative nonlinear Schrödinger equation. (English) Zbl 1533.35315 Math. Ann. 388, No. 3, 2289-2329 (2024). MSC: 35Q55 35B65 35B10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Hao-Guang; Xu, Chao-Jiang Analytic Gelfand-Shilov smoothing effect of the spatially homogeneous Landau equation with hard potentials. (English) Zbl 1533.35053 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1815-1840 (2024). MSC: 35B65 35B20 35G25 82C40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Haoguang; Xu, Chaojiang The analytic smoothing effect of linear Landau equation with soft potentials. (English) Zbl 1538.35102 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 6, 2597-2614 (2023). MSC: 35B65 76P05 82C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kishimoto, Nobu; Tsutsumi, Yoshio Well-posedness of the Cauchy problem for the kinetic DNLS on \(\mathbb{T}\). (English) Zbl 1517.35209 J. Hyperbolic Differ. Equ. 20, No. 1, 27-75 (2023). MSC: 35Q55 35M11 35A01 35B30 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alziary, Bénédicte; Takáč, Peter The Heston stochastic volatility model has a boundary trace at zero volatility. (English) Zbl 1507.35059 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 52, 43 p. (2023). MSC: 35B65 35K15 35K65 91G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ávalos, Gerardo Gómez; Muñoz Rivera, Jaime; Ochoa, Elena Ochoa Gevrey semigroup of the type III localized thermoelastic model. (English) Zbl 1510.74021 J. Differ. Equations 347, 282-309 (2023). Reviewer: Ramón Quintanilla De Latorre (Barcelona) MSC: 74F05 74K10 74H20 74H25 74H30 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Kagei, Yoshiyuki; Takeda, Hiroshi Decay estimates of solutions to nonlinear elastic wave equations with viscoelastic terms in the framework of \(L^p\)-Sobolev spaces. (English) Zbl 1501.35063 J. Math. Anal. Appl. 519, No. 1, Article ID 126801, 35 p. (2023). MSC: 35B40 35L35 35L76 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hao-Guang; Xu, Chao-Jiang The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials. (English) Zbl 1498.35135 Sci. China, Math. 65, No. 10, 2079-2098 (2022). MSC: 35B65 35Q49 76P05 82C40 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Aiting; Qian, Chenyin Smoothing effect and well-posedness for 2D Boussinesq equations in critical Sobolev space. (English) Zbl 1498.35134 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7625-7656 (2022). MSC: 35B65 35B44 35Q35 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Nouira, I.; Khenissi, M. Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term. (English) Zbl 1499.65422 Int. J. Comput. Math. 99, No. 6, 1201-1223 (2022). MSC: 65M06 65M70 65N35 35B30 35A35 35B65 47A10 65M22 65T50 35Q41 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Haoguang; Wang, Hengyue Gelfand-Shilov smoothing effect for the radially symmetric spatially homogeneous Landau equation under the hard potential \(\gamma=2\). (English) Zbl 1499.35148 J. Partial Differ. Equations 35, No. 1, 11-30 (2022). MSC: 35B65 35E15 76P05 × Cite Format Result Cite Review PDF Full Text: DOI
Freire, Ricardo. C.; Mendez, Argenis J.; Riaño, Oscar On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation. (English) Zbl 1486.35099 J. Differ. Equations 322, 135-179 (2022). MSC: 35B65 35G25 35S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kagei, Yoshiyuki; Takeda, Hiroshi Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term. (English) Zbl 1486.35101 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112826, 36 p. (2022). MSC: 35B65 35B40 35L15 35L72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belluzi, Maykel; Caraballo, Tomás; Nascimento, Marcelo J. D.; Schiabel, Karina Smoothing effect and asymptotic dynamics of nonautonomous parabolic equations with time-dependent linear operators. (English) Zbl 1483.35132 J. Differ. Equations 314, 808-849 (2022). MSC: 35K90 35A01 35B40 35B41 35B65 35K58 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liu, Yan; Shi, Jincheng Coupled plate equations with indirect damping: smoothing effect, decay properties and approximation. (English) Zbl 1478.35040 Z. Angew. Math. Phys. 73, No. 1, Paper No. 11, 15 p. (2022). MSC: 35B40 35B33 35B44 35L52 35L71 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Kobayashi, Takayuki; Tsuda, Kazuyuki Time decay estimate with diffusion wave property and smoothing effect for solutions to the compressible Navier-Stokes-Korteweg system. (English) Zbl 1479.35619 Funkc. Ekvacioj, Ser. Int. 64, No. 2, 163-187 (2021). MSC: 35Q30 76N10 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Dingqun Regularity of non-cutoff Boltzmann equation with hard potential. (English) Zbl 1476.35160 SIAM J. Math. Anal. 53, No. 4, 4513-4536 (2021). MSC: 35Q20 35B65 35D35 76P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Federico, Serena; Staffilani, Gigliola Smoothing effect for time-degenerate Schrödinger operators. (English) Zbl 1470.35297 J. Differ. Equations 298, 205-247 (2021). MSC: 35Q41 35B65 81Q80 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karmous, Mohamed; Khenissi, Moez On the nonlinear regularized Schrödinger equation in exterior domains. (English) Zbl 1471.35258 Tunis. J. Math. 3, No. 2, 361-393 (2021). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35B20 35B65 35Q41 47H10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Grande, Ricardo; Kurianski, Kristin M.; Staffilani, Gigliola On the nonlinear Dysthe equation. (English) Zbl 1464.35224 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112292, 36 p. (2021). MSC: 35Q35 76B15 86A05 35B65 35B50 35C20 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Aloui, Lassaad; El Khal El Taief, Imen The Kato smoothing effect for the nonlinear regularized Schrödinger equation on compact manifolds. (English) Zbl 1464.35307 Math. Control Relat. Fields 10, No. 4, 699-714 (2020). MSC: 35Q55 35B65 35B20 47H10 35A01 35A02 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Ghoshal, Shyam Sundar; Guelmame, Billel; Jana, Animesh; Junca, Stéphane Optimal regularity for all time for entropy solutions of conservation laws in \(BV^s\). (English) Zbl 1452.35097 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 5, Paper No. 46, 29 p. (2020). MSC: 35L65 35L67 35B45 35B65 35L45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Morimoto, Yoshinori; Xu, Chao-Jiang Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules. (English) Zbl 1451.35154 Kinet. Relat. Models 13, No. 5, 951-978 (2020). MSC: 35Q49 35B65 35Q82 35S05 82D10 35Q20 35A02 35A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mendez, Argenis J. On the propagation of regularity for solutions of the fractional Korteweg-de Vries equation. (English) Zbl 1450.35236 J. Differ. Equations 269, No. 11, 9051-9089 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35R11 26A33 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoshino, Gaku Gevrey-modulation spaces and smoothing effect for the system of nonlinear Schrödinger equations. (English) Zbl 1442.35422 J. Pseudo-Differ. Oper. Appl. 11, No. 2, 613-629 (2020). MSC: 35Q55 35B65 35B34 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Ogawa, Takayoshi; Sato, Takuya Analytic smoothing effect for system of nonlinear Schrödinger equations with general mass resonance. (English) Zbl 1437.35641 Hiroshima Math. J. 50, No. 1, 73-84 (2020). MSC: 35Q55 35B30 35B65 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Diehl, Nicolau M. L.; Fabris, Lucineia; Ziebell, Juliana S. Decay estimates for solutions of porous medium equations with advection. (English) Zbl 1435.35057 Acta Appl. Math. 165, 149-162 (2020). MSC: 35B40 35K65 35K55 35B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaudru de Raynal, P. E. Strong well posedness of McKean-Vlasov stochastic differential equations with hölder drift. (English) Zbl 1471.60081 Stochastic Processes Appl. 130, No. 1, 79-107 (2020). MSC: 60H10 34K50 35B30 35F20 35Q83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Feng; Xu, Chaojiang Analytical smoothing effect of solution for the Boussinesq equations. (English) Zbl 1499.35495 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 1, 165-179 (2019). MSC: 35Q35 35M30 76B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Wada, Takeshi Kato type smoothing estimates for magnetic Schrödinger equations with rough potentials. (English) Zbl 1435.35323 Kato, Keiichi (ed.) et al., Asymptotic analysis for nonlinear dispersive and wave equations. Proceedings of the international conference on asymptotic analysis for nonlinear dispersive and wave equations, Osaka University, Osaka, Japan, September 6–9, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 81, 389-400 (2019). MSC: 35Q40 35Q41 35B65 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Guelmame, Billel; Junca, Stéphane; Clamond, Didier Regularizing effect for conservation laws with a Lipschitz convex flux. (English) Zbl 1439.35329 Commun. Math. Sci. 17, No. 8, 2223-2238 (2019). MSC: 35L67 35B65 35L65 26A45 46E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Hoshino, Gaku Global well-posedness and analytic smoothing effect for the dissipative nonlinear Schrödinger equations. (English) Zbl 1427.35255 J. Dyn. Differ. Equations 31, No. 4, 2339-2351 (2019). MSC: 35Q55 35R11 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Porzio, Maria Michaela Asymptotic behavior and regularity properties of strongly nonlinear parabolic equations. (English) Zbl 1427.35137 Ann. Mat. Pura Appl. (4) 198, No. 5, 1803-1833 (2019). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35K59 35K10 35K55 35K65 35B40 35K20 35K92 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Winkler, Michael How strong singularities can be regularized by logistic degradation in the Keller-Segel system? (English) Zbl 1437.35004 Ann. Mat. Pura Appl. (4) 198, No. 5, 1615-1637 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35A20 92C17 35B40 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hao-Guang; Liu, Jing Gelfand-Shilov and Gevrey smoothing effect of the Cauchy problem for Fokker-Planck equation. (English) Zbl 1421.35369 J. Math. Anal. Appl. 477, No. 1, 222-249 (2019). MSC: 35Q84 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Wen; Dong, Bo-Qing; Chen, Zhi-Min Large-time regular solutions to the modified quasi-geostrophic equation in Besov spaces. (English) Zbl 1420.35264 Discrete Contin. Dyn. Syst. 39, No. 7, 3749-3765 (2019). MSC: 35Q35 76D03 35Q86 86A05 35B65 42B35 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Bensouilah, Abdelwahab; Keraani, Sahbi Smoothing property for the \( L^2 \)-critical high-order NLS. II. (English) Zbl 1412.35302 Discrete Contin. Dyn. Syst. 39, No. 5, 2961-2976 (2019). MSC: 35Q55 35B40 35B05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hao-Guang; Xu, Chao-Jiang Cauchy problem for the spatially homogeneous Landau equation with Shubin class initial datum and Gelfand-Shilov smoothing effect. (English) Zbl 1411.35076 SIAM J. Math. Anal. 51, No. 1, 532-564 (2019). Reviewer: Petar Popivanov (Sofia) MSC: 35H20 35E15 35B65 76P05 82C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Porzio, Maria Michaela A new approach to decay estimates - application to a nonlinear and degenerate parabolic PDE. (English) Zbl 1408.35062 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 29, No. 4, 635-659 (2018). MSC: 35K10 35K55 35K65 × Cite Format Result Cite Review PDF Full Text: DOI
Hoshino, Gaku; Hyakuna, Ryosuke Analytic smoothing effect for the nonlinear Schrödinger equations without square integrability. (English) Zbl 1406.35358 J. Fourier Anal. Appl. 24, No. 6, 1661-1680 (2018). MSC: 35Q55 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio The porous medium equation with measure data on negatively curved Riemannian manifolds. (English) Zbl 1400.35153 J. Eur. Math. Soc. (JEMS) 20, No. 11, 2769-2812 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35K15 58J35 31C12 35A01 35A02 31C05 35K59 35R01 35R06 35K65 35Q35 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhattarai, Santosh; Corcho, Adán J.; Panthee, Mahendra Well-posedness for multicomponent Schrödinger-gKdV systems and stability of solitary waves with prescribed mass. (English) Zbl 1402.35239 J. Dyn. Differ. Equations 30, No. 2, 845-881 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35Q55 35B35 35A15 35C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takeda, Hiroshi Unconditional small data global well-posedness for nonlinear beam equations with weak damping. (English) Zbl 1387.35421 Nonlinear Anal., Real World Appl. 41, 1-33 (2018). MSC: 35L76 35B40 35L30 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Sasaki, Hironobu Remark on the analytic smoothing effect for the Hartree equation. (English) Zbl 1391.35360 RIMS Kôkyûroku Bessatsu B65, 91-107 (2017). MSC: 35Q55 35B65 35G25 × Cite Format Result Cite Review PDF
Hoshino, Gaku Analytic smoothing effect for global solutions to a quadratic system of nonlinear Schrödinger equations. (English) Zbl 1383.35211 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 6, Paper No. 62, 17 p. (2017). MSC: 35Q55 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Miyaji, Tomoyuki; Tsutsumi, Yoshio Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on \(\mathbf T\). (English) Zbl 1391.35357 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1707-1725 (2017). Reviewer: Marin I. Marin (Braşov) MSC: 35Q55 35Q53 35A01 35B41 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Hitrik, M.; Pravda-Starov, K.; Viola, J. Short-time asymptotics of the regularizing effect for semigroups generated by quadratic operators. (English) Zbl 1377.35049 Bull. Sci. Math. 141, No. 7, 615-675 (2017). MSC: 35B65 35H20 35H10 47D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Hao-Guang; Xu, Chao-Jiang The Cauchy problem for the radially symmetric homogeneous Boltzmann equation with Shubin class initial datum and Gelfand-Shilov smoothing effect. (English) Zbl 1375.35302 J. Differ. Equations 263, No. 8, 5120-5150 (2017). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q20 35E15 35B65 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khenissi, Moez; Royer, Julien Local energy decay and smoothing effect for the damped Schrödinger equation. (English) Zbl 1372.35262 Anal. PDE 10, No. 6, 1285-1315 (2017). MSC: 35Q41 35B40 35B65 47A55 47B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Castelli, Pierre; Junca, Stéphane On the maximal smoothing effect for multidimensional scalar conservation laws. (English) Zbl 1383.35123 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 207-218 (2017). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35B65 35L67 46E35 26A45 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Rodríguez-Bernal, Aníbal The heat equaton with general periodic boundary conditions. (English) Zbl 1515.35110 Potential Anal. 46, No. 2, 295-321 (2017). MSC: 35K05 35A01 35A02 35B50 35B65 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Miura, Tatsuya An example of a mean-convex mean curvature flow developing infinitely many singular epochs. (English) Zbl 1353.53069 J. Geom. Anal. 26, No. 4, 3019-3026 (2016). MSC: 53C44 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghoshal, Shyam Sundar BV regularity near the interface for nonuniform convex discontinuous flux. (English) Zbl 1343.35050 Netw. Heterog. Media 11, No. 2, 331-348 (2016). MSC: 35B65 35L65 35L67 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doronin, G. G.; Natali, F. Exponential decay for a locally damped fifth-order equation posed on the line. (English) Zbl 1342.35073 Nonlinear Anal., Real World Appl. 30, 59-72 (2016). MSC: 35G25 35B40 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Karmous, Mohamed Strichartz estimates for regularized Schrödinger equations in exterior domains. (English) Zbl 1326.35303 J. Abstr. Differ. Equ. Appl. 6, No. 1, 37-50 (2015). MSC: 35Q41 35B65 35B20 35B45 × Cite Format Result Cite Review PDF Full Text: Link
Porzio, Maria Michaela On uniform and decay estimates for unbounded solutions of partial differential equations. (English) Zbl 1329.35066 J. Differ. Equations 259, No. 12, 6960-7011 (2015). MSC: 35B40 35B45 35B65 35B30 35K55 35A23 × Cite Format Result Cite Review PDF Full Text: DOI
Hairer, Martin; Hutzenthaler, Martin; Jentzen, Arnulf Loss of regularity for Kolmogorov equations. (English) Zbl 1322.35083 Ann. Probab. 43, No. 2, 468-527 (2015). Reviewer: Martin Ondreját (Praha) MSC: 35K65 35K10 35R60 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation. (English. French summary) Zbl 1308.35155 J. Math. Pures Appl. (9) 103, No. 3, 809-829 (2015). MSC: 35Q20 76P05 35H20 82B40 82C40 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grillo, Gabriele; Muratori, Matteo Sharp asymptotics for the porous media equation in low dimensions via Gagliardo-Nirenberg inequalities. (English) Zbl 1332.35159 Riv. Mat. Univ. Parma (N.S.) 5, No. 1, 15-38 (2014). Reviewer: Mersaid Aripov (Tashkent) MSC: 35K55 35B40 35K65 35B65 × Cite Format Result Cite Review PDF
Lerner, N.; Morimoto, Y.; Pravda-Starov, K.; Xu, C.-J. Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff. (English) Zbl 1315.35141 J. Differ. Equations 256, No. 2, 797-831 (2014). MSC: 35Q20 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourdarias, C.; Gisclon, M.; Junca, S. Fractional \(BV\) spaces and applications to scalar conservation laws. (English) Zbl 1320.35206 J. Hyperbolic Differ. Equ. 11, No. 4, 655-677 (2014). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35L67 35B65 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Fang, Daoyuan; Han, Zheng Local smoothing effect on the Schrödinger equation with harmonic potential. (English) Zbl 1306.35013 J. Math. Anal. Appl. 409, No. 1, 28-40 (2014). MSC: 35J10 35B65 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Hoshino, Gaku; Ozawa, Tohru Analytic smoothing effect for nonlinear Schrödinger equation in two space dimensions. (English) Zbl 1304.35643 Osaka J. Math. 51, No. 3, 609-618 (2014). Reviewer: Marin I. Marin (Braşov) MSC: 35Q55 35J10 35Q41 81Q05 × Cite Format Result Cite Review PDF Full Text: Euclid
Bienaimé, Pierre-Yves Local existence and smoothing effect for nonlinear equations of Schrödinger type. (Existence locale et effet régularisant précisés pour des équations non linéaires de type Schrödinger.) (French. English summary) Zbl 1303.35093 Rev. Mat. Iberoam. 30, No. 3, 751-798 (2014). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35A01 35A02 35B65 35Q41 35S11 46T20 47F05 47G30 × Cite Format Result Cite Review PDF Full Text: DOI
Kaizuka, Koichi Resolvent estimates on symmetric spaces of noncompact type. (English) Zbl 1301.47045 J. Math. Soc. Japan 66, No. 3, 895-926 (2014). Reviewer: Shangquan Bu (Beijing) MSC: 47B38 42B15 47A10 43A85 35B65 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Hoshino, Gaku; Ozawa, Tohru Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity. (English) Zbl 1296.35170 J. Math. Anal. Appl. 419, No. 1, 285-297 (2014). MSC: 35Q55 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Matthes, S.; Reissig, M. Qualitative properties of structurally damped wave models. (English) Zbl 1332.35197 Eurasian Math. J. 4, No. 3, 84-106 (2013). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 35L15 35B40 34E20 × Cite Format Result Cite Review PDF Full Text: MNR
Morimoto, Yoshinori; Pravda-Starov, Karel; Xu, Chao-Jiang A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation. (English) Zbl 1284.35102 Kinet. Relat. Models 6, No. 4, 715-727 (2013). MSC: 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Joly, Romain; Laurent, Camille Stabilization for the semilinear wave equation with geometric control condition. (English. French summary) Zbl 1329.35062 Anal. PDE 6, No. 5, 1089-1119 (2013). Reviewer: Nasser-eddine Tatar (Dhahran) MSC: 35B40 35B60 35B65 93D20 35L71 35B41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grillo, Gabriele; Muratori, Matteo; Porzio, Maria Michaela Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities. (English) Zbl 1277.35217 Discrete Contin. Dyn. Syst. 33, No. 8, 3599-3640 (2013). MSC: 35K65 35K55 35B40 39B62 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Robbiano, Luc Kato smoothing effect for Schrödinger operator. (English) Zbl 1273.35233 Cicognani, Massimo (ed.) et al., Studies in phase space analysis with applications to PDEs. In part selected papers based on the presentations at a meeting, Bertinoro, Italy, September 2011. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-6347-4/hbk; 978-1-4614-6348-1/ebook). Progress in Nonlinear Differential Equations and Their Applications 84, 355-369 (2013). MSC: 35Q41 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Glangetas, Léo; Najeme, Mohamed Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation. (English) Zbl 1262.35068 Kinet. Relat. Models 6, No. 2, 407-427 (2013). MSC: 35B65 35A20 35H20 76P05 82C40 35Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Haraux, Alain; Ôtani, Mitsuharu Analyticity and regularity for a class of second order evolution equations. (English) Zbl 1262.35069 Evol. Equ. Control Theory 2, No. 1, 101-117 (2013). MSC: 35B65 35L90 35L20 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Grillo, Gabriele; Muratori, Matteo Sharp short and long time \(L^{\infty }\) bounds for solutions to porous media equations with homogeneous Neumann boundary conditions. (English) Zbl 1270.35146 J. Differ. Equations 254, No. 5, 2261-2288 (2013). Reviewer: Mersaid Aripov (Tashkent) MSC: 35B45 35K20 35K55 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mohamed, Najeme Precise smoothing effects of homogeneous Landau equation in Sobolev spaces. (English) Zbl 1274.35035 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 3, 1245-1254 (2012). MSC: 35B65 35H20 76P05 82C40 × Cite Format Result Cite Review PDF Full Text: DOI
Silvestre, Luis On the differentiability of the solution to an equation with drift and fractional diffusion. (English) Zbl 1308.35042 Indiana Univ. Math. J. 61, No. 2, 557-584 (2012). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B65 35R11 35K10 35D40 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Liu, Shuangqian Smoothing effects for the classical solutions to the Landau-Fermi-Dirac equation. (English) Zbl 1259.35173 Chin. Ann. Math., Ser. B 33, No. 6, 857-876 (2012). MSC: 35Q40 76P05 82C40 × Cite Format Result Cite Review PDF Full Text: DOI
Schimperna, Giulio; Segatti, Antonio; Zelik, Sergey Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model. (English) Zbl 1270.35151 J. Evol. Equ. 12, No. 4, 863-890 (2012). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B45 35B65 35D30 35K45 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Wada, Takeshi Smoothing effects for Schrödinger equations with electro-magnetic potentials and applications to the Maxwell-Schrödinger equations. (English) Zbl 1251.35095 J. Funct. Anal. 263, No. 1, 1-24 (2012). MSC: 35Q40 81Q05 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Gang; Xue, Liutang Global well-posedness for the 2D inviscid Bénard system with fractional diffusivity and Yudovich’s type data. (English) Zbl 1305.35119 J. Differ. Equations 253, No. 1, 100-125 (2012). MSC: 35Q35 35B30 35Q86 35R11 76B03 × Cite Format Result Cite Review PDF Full Text: DOI
Molinet, Luc A note on ill posedness for the KdV equation. (English) Zbl 1249.35292 Differ. Integral Equ. 24, No. 7-8, 759-765 (2011). MSC: 35Q53 35B30 × Cite Format Result Cite Review PDF Full Text: arXiv
Alazard, T.; Burq, N.; Zuily, C. On the water-wave equations with surface tension. (English) Zbl 1258.35043 Duke Math. J. 158, No. 3, 413-499 (2011). MSC: 35B65 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Xia, Suxia; Xu, Guixiang On the Cauchy problem for the NLS equations in \(\mathbb R^{1+1}\). (English) Zbl 1219.35291 Appl. Math. Comput. 217, No. 19, 7737-7752 (2011). MSC: 35Q55 35A15 35A01 42B25 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Alves, Margareth S.; Calsavara, Bianca M. R.; Muñoz Rivera, Jaime E.; Sepúlveda, Mauricio; Villagrán, Octavio Vera Analyticity and smoothing effect for the coupled system of equations of Korteweg-de Vries type with a single point singularity. (English) Zbl 1205.35245 Acta Appl. Math. 113, No. 1, 75-100 (2011). MSC: 35Q53 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Popivanov, P.; Slavova, A.; Zecca, P. Regularizing property of the solutions of a dissipative semilinear wave equation. (English) Zbl 1224.35286 C. R. Acad. Bulg. Sci. 63, No. 7, 961-970 (2010). Reviewer: Ivan Landjev (Sofia) MSC: 35L70 35B40 35D35 35A21 × Cite Format Result Cite Review PDF
Tomoeda, Kyoko Analyticity and smoothing effect for the fifth order KdV type equation. (English) Zbl 1205.35276 Proc. Japan Acad., Ser. A 86, No. 7, 101-106 (2010). MSC: 35Q53 35A01 35B30 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Thomann, Laurent A remark on the Schrödinger smoothing effect. (English) Zbl 1208.35026 Asymptotic Anal. 69, No. 1-2, 117-123 (2010). MSC: 35J10 35P05 35B45 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. (English) Zbl 1206.58009 Geom. Funct. Anal. 20, No. 3, 627-656 (2010). Reviewer: Chengbo Wang (Baltimore) MSC: 58J60 35Q41 35B65 53C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ozawa, T.; Yamauchi, K. Analytic smoothing effect for global solutions to nonlinear Schrödinger equations. (English) Zbl 1185.35264 J. Math. Anal. Appl. 364, No. 2, 492-497 (2010). MSC: 35Q55 35B65 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid. (English) Zbl 1182.35048 J. Differ. Equations 247, No. 8, 2331-2363 (2009). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B41 35Q35 76D03 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, T.; Yamauchi, K. Remarks on analytic smoothing effect for the Schrödinger equation. (English) Zbl 1172.35014 Math. Z. 261, No. 3, 511-524 (2009). MSC: 35J10 35B65 35A22 × Cite Format Result Cite Review PDF Full Text: DOI Link