Found 254 Documents (Results 1–100)
Fourth order Schrödinger equation with mixed dispersion on certain Cartan-Hadamard manifolds. (English) Zbl 07920470
A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton. (English) Zbl 07898589
Reviewer: Alain Brillard (Riedisheim)
Wave equation on general noncompact symmetric spaces. (English) Zbl 07891418
Reviewer: Chengbo Wang (Hangzhou)
Analysis on compact symmetric spaces: eigenfunctions and nonlinear Schrödinger equations. (English) Zbl 1541.35472
Cardona, Duván (ed.) et al., Extended abstracts 2021/2022. Methusalem lectures, Ghent, Belgium. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 235-240 (2024).
Fourier decay of fractal measures on surfaces of co-dimension two in \(\mathbb{R}^5\). (English) Zbl 1534.42019
Global well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds. (English) Zbl 1534.35381
Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet. (English) Zbl 1533.42018
Guo, Shaoming (ed.) et al., Recent developments in harmonic analysis and its applications. AMS special session on harmonic analysis, lvirtual, March 26–27, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 792, 147-170 (2024).
Reviewer: Changxing Miao (Beijing)
Large time well-posedness for a Dirac-Klein-Gordon system. (English) Zbl 1537.35301
Reviewer: Abderrazek Benhassine (Monastir)
Restriction theorem fails for the Fourier-Hermite transform associated with the normalized Hermite polynomials with respect to a discrete surface. (English) Zbl 1527.35328
A sharpened Strichartz inequality for the wave equation. (Une inégalité de Strichartz précisée pour l’équation des ondes.) (English. French summary) Zbl 1536.35112
Uniform attractor and its Kolmogorov entropy for a damped sup-cubic wave equation with state-dependent delay. (English) Zbl 1531.35084
A characterization of the \(L^2\)-range of the Poisson transforms on a class of vector bundles over the quaternionic hyperbolic spaces. (English) Zbl 1541.43015
Refined long time existence of the Boussinesq equation with large initial data in \(\mathbb{R}^n\). (English) Zbl 1516.35374
Probabilistic local wellposedness of 1D quintic NLS below \(L^2(\mathbb{R})\). (English) Zbl 1530.35282
The stochastic nonlinear Schrödinger equations driven by pure jump noise. (English) Zbl 1518.60061
Reviewer: Alain Brillard (Riedisheim)
On local well-posedness of nonlinear dispersive equations with partially regular data. (English) Zbl 07694670
Reviewer: Jiqiang Zheng (Beijing)
Singular Levy processes and dispersive effects of generalized Schrödinger equations. (English) Zbl 1516.35387
Reviewer: Hajer Bahouri (Paris)
The IVP for certain generalized dispersion of the ZK equation in the cylinder space. (English) Zbl 07675609
Reviewer: Philippe Laurençot (Chambéry)
Schrödinger equation on non-compact symmetric spaces. (English) Zbl 1531.35200
Reviewer: Matthias Täufer (Hagen)
Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices. (English) Zbl 1510.35273
Defocusing \(\dot{H}^{\frac{ 1}{ 2}} \)-critical inhomogeneous nonlinear Schrödinger equations. (English) Zbl 1508.35161
On the Cauchy problem for the cutoff Boltzmann equation with small initial data. (English) Zbl 1506.35134
Local and global theory for the three-wave mixing Schrödinger system with quadratic interactions on Zoll manifolds. (English) Zbl 1505.35329
On the continuum limit for the discrete nonlinear Schrödinger equation on a large finite cubic lattice. (English) Zbl 1503.35210
Reviewer: Hajer Bahouri (Paris)
On blowup solutions for the mixed fractional Schrödinger equation of Choquard type. (English) Zbl 1496.35356
On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity. (English) Zbl 1513.35480
Existence and finite time blow-up for nonlinear Schrödinger equations in the Bopp-Podolsky electrodynamics. (English) Zbl 1504.35509
Global attractor of the fractional damping wave equation on \(\mathbb{R}^3\). (English) Zbl 1485.35070
\(L^2\)-Poisson integral representations of eigensections of invariant differential operators on a homogeneous line bundle over the complex Grassmann manifold \(\mathrm{SU}(r,r+b)/\mathrm{S}(\mathrm{U}(r)\times \mathrm{U}(r+b))\). (English) Zbl 1497.43009
Dimension of divergence set of the wave equation. (English) Zbl 1479.42067
Reviewer: Felipe Ponce-Vanegas (Bilbao)
Sharp Strichartz estimates for the Schrödinger equation on the sphere. (English) Zbl 1490.35368
Reviewer: Markus Holzmann (Graz)
\(L^p\)-estimate of Schrödinger maximal function in higher dimensions. (English) Zbl 1483.35169
Reviewer: Anthony D. Osborne (Keele)
MSC:
35Q41
Spatial behavior of solutions for a large class of non-local PDE’s arising from stratified flows. (English) Zbl 1513.35448
Inhomogeneous Neumann-boundary value problem for nonlinear Schrödinger equations in the upper half-space. (English) Zbl 1513.35453
MSC:
35Q35
Long time existence of the Boussinesq equation with large initial data in \(\mathbb{R}^n\). (English) Zbl 1479.35108
Strichartz estimates for wave equations with charge transfer Hamiltonians. (English) Zbl 1484.35092
Memoirs of the American Mathematical Society 1339. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4974-2/pbk; 978-1-4704-6807-1/ebook). v, 84 p. (2021).
Reviewer: Chengbo Wang (Hangzhou)
On the global weak solution problem of semilinear generalized Tricomi equations. II. (English) Zbl 1476.35147
Sharp lifespan estimates for subcritical generalized semilinear Tricomi equations. (English) Zbl 1473.35365
Bilinear Strichartz’s type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrödinger equation. (English) Zbl 1476.35065
Reviewer: Chengbo Wang (Hangzhou)
Small data scattering of Hartree type fractional Schrödinger equations in a scaling critical space. (English) Zbl 1480.35350
Reviewer: Ivan Naumkin (Nice)
The stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Lévy noise. (English) Zbl 1465.60058
Reviewer: Oleg K. Zakusilo (Kyïv)
Singular limits of the Cauchy problem to the two-layer rotating shallow water equations. (English) Zbl 1464.35248
Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations. (English) Zbl 1464.35324
Strichartz estimates and Fourier restriction theorems on the Heisenberg group. (English) Zbl 1460.35365
Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold. (English) Zbl 1458.35384
Local and global well-posedness for a quadratic Schrödinger system on Zoll manifolds. (English) Zbl 1458.35391
On blow-up phenomenon of the solution to some wave-Hartree equation in \(d \geq 5\). (English) Zbl 1499.35423
Sharp estimates for the Schrödinger equation associated with the twisted Laplacian. (English) Zbl 1527.35146
Remark on asymptotic order for the energy critical nonlinear damped wave equation to the linear heat equation via the Strichartz estimates. (English) Zbl 1471.35046
Georgiev, Vladimir (ed.) et al., Advances in harmonic analysis and partial differential equations. Based on the 12th ISAAC congress, session “Harmonic analysis and partial differential equations”, Aveiro, Portugal, July 29 – August 2, 2019. Cham: Birkhäuser. Trends Math., 253-262 (2020).
On stochastic Schrödinger equation with time-periodic dispersion and time-varying loss/gain. (English) Zbl 1474.35586
Global center stable manifold for the defocusing energy critical wave equation with potential. (English) Zbl 1465.35306
Reviewer: Chengbo Wang (Hangzhou)
Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications. (English) Zbl 1452.35128
Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds. (English) Zbl 07269819
On scattering for the defocusing quintic nonlinear Schrödinger equation on the two-dimensional cylinder. (English) Zbl 1448.35464
Maximal estimates for the Schrödinger equation with orthonormal initial data. (English) Zbl 1446.35156
Long time existence of classical solutions for the rotating Euler equations and related models in the optimal Sobolev space. (English) Zbl 1445.35245
Reviewer: Ilya A. Chernov (Petrozavodsk)
Well-posedness for a dispersive system of the Whitham-Boussinesq type. (English) Zbl 1434.35178
MSC:
35Q55
Global well-posedness for the defocusing Hartree equation with radial data in \(\mathbb{R}^4\). (English) Zbl 1434.35136
Uniform resolvent estimates for Schrödinger operator with an inverse-square potential. (English) Zbl 1429.42027
Exponential attractors for weakly damped wave equation with sub-quintic nonlinearity. (English) Zbl 1442.35265
Strong global attractor for weakly damped wave equation with sub-quintic nonlinearity. (English) Zbl 1426.35039
Weak-type estimates for the metaplectic representation restricted to the shearing and dilation subgroup of \(\mathrm{SL}(2,\mathbb{R})\). (English) Zbl 1421.43002
Boggiatto, Paolo (ed.) et al., Landscapes of time-frequency analysis. Based on talks given at the inaugural conference on aspects of time-frequency analysis, Turin, Italy, July 5–7, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 59-73 (2019).
Reviewer: Koichi Saka (Akita)
Strichartz estimate and nonlinear Klein-Gordon equation on nontrapping scattering space. (English) Zbl 1421.35303
Regularity and uniqueness for the rough solutions of the derivative nonlinear Schrödinger equation. (English) Zbl 1463.35456
Pointwise convergence of solutions to the Schrödinger equation on manifolds. (English) Zbl 1421.35312
Global existence and lifespan for semilinear wave equations with mixed nonlinear terms. (English) Zbl 1433.35193
Reviewer: Claudia Simionescu-Badea (Wien)
Long-range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions. (English) Zbl 1472.35056
On the well-posedness for the nonlinear radial Schrödinger equation with spatial variable coefficients. (English) Zbl 1416.35250
Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions. (English) Zbl 1411.60115
Strichartz estimate of the solutions for the free fractional Schrödinger equation with spatial variable coefficient. (English) Zbl 1516.35139
Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in 2D. (English) Zbl 1397.35281
Global in time Strichartz estimates for the fractional Schrödinger equations on asymptotically Euclidean manifolds. (English) Zbl 1401.35313
Small data scattering of Hartree type fractional Schrödinger equations in dimension 2 and 3. (English) Zbl 1393.35217
The Cauchy problem for the fractional Kadomtsev-Petviashvili equations. (English) Zbl 1420.35320
Reviewer: Catalin Popa (Iaşi)
Refinement of Strichartz estimates for Airy equation in nondiagonal case and its application. (English) Zbl 1392.35265
Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. (English) Zbl 1379.58013
Global-in-time smoothing effects for Schrödinger equations with inverse-square potentials. (English) Zbl 1386.35367
Reviewer: Eric Stachura (Haverford)
Dispersive estimates with loss of derivatives via the heat semigroup and the wave operator. (English) Zbl 1406.35070
Reviewer: Thomas Kalmes (Chemnitz)
Global-in-time Strichartz estimates for Schrödinger on scattering manifolds. (English) Zbl 1386.35368
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