Bilinear space-time estimates for homogeneous wave equations
From MaRDI portal
Publication:4485153
DOI10.1016/S0012-9593(00)00109-9zbMath0959.35107MaRDI QIDQ4485153
Sergiu Klainerman, Damiano Foschi
Publication date: 6 May 2001
Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_2000_4_33_2_211_0
Smoothness and regularity of solutions to PDEs (35B65) Wave equation (35L05) A priori estimates in context of PDEs (35B45)
Related Items
Local well-posedness of the Yang--Mills equation in the temporal gauge below the energy norm, Hyperbolic conormal spaces and semilinear wave equation, Optimal multilinear restriction estimates for a class of hypersurfaces with curvature, Improved well-posedness for the quadratic derivative nonlinear wave equation in 2D, Local and global solutions of the Chern-Simons-Higgs system, Cauchy problem for the Fermion field equation coupled with the Chern-Simons gauge, Real-variable characterizations of new anisotropic mixed-norm Hardy spaces, Almost optimal local well-posedness for the Maxwell-Klein-Gordon system with data in Fourier-Lebesgue spaces, Local well-posedness for the nonlinear Dirac equation in two space dimensions, Some recent progress on sharp Fourier restriction theory, Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators, Some sharp null-form type estimates for the Klein-Gordon equation, Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^p$ boundedness, Convergence problem of Schrödinger equation and wave equation in low regularity spaces, Local well-posedness for the space-time monopole equation in Lorenz gauge, An endline bilinear cone restriction estimate for mixed norms, Local well-posedness for incompressible neo-Hookean elastic equations in almost critical Sobolev spaces, A weak form of the soliton resolution conjecture for high-dimensional fourth-order Schrödinger equations, Bilinear oscillatory integrals and boundedness for new bilinear multipliers, Atlas of products for wave-Sobolev spaces on ℝ¹⁺³, Small Data Scattering for Cubic Dirac Equation with Hartree Type Nonlinearity in $\mathbb{R}^{1+3}$, Low Regularity Well-Posedness for the Yang--Mills System in Fourier--Lebesgue Spaces, Small data scattering for semi-relativistic equations with Hartree type nonlinearity, ON THE WAVE EQUATION WITH QUADRATIC NONLINEARITIES IN THREE SPACE DIMENSIONS, Wave maps on \((1+2)\)-dimensional curved spacetimes, Improved well-posedness results for the Maxwell-Klein-Gordon system in 2D, The optimal trilinear restriction estimate for a class of hypersurfaces with curvature, Local well-posedness for the \((n + 1)\)-dimensional Yang-Mills and Yang-Mills-Higgs system in temporal gauge, On the regularity of averages over spheres, Symplectic non-squeezing for the cubic nonlinear Klein-Gordon equation on \(\mathbb{T}^3\), Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system, Maximizers for the Strichartz inequality, Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system, On the artificial compressibility method for the Navier-Stokes-Fourier system, Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces, Global well-posedness for the massive Maxwell-Klein-Gordon equation with small critical Sobolev data, Bilinear identities involving thek-plane transform and Fourier extension operators, Leibniz's rule, sampling and wavelets on mixed Lebesgue spaces, A physical space approach to wave equation bilinear estimates, A note on bilinear wave-Schrödinger interactions, Almost optimal local well-posedness for the (3+1)-dimensional Maxwell–Klein–Gordon equations, SOME SHARP BILINEAR SPACE–TIME ESTIMATES FOR THE WAVE EQUATION, On the radius of spatial analyticity for solutions of the Dirac-Klein-Gordon Equations in two space dimensions, Global regularity of wave maps from \(\mathbb{R}^{2+1}\) to \(H^{2}\). Small energy, Local well-posedness of the two-dimensional Dirac–Klein–Gordon equations in Fourier–Lebesgue spaces, On the nonlinear type singularities for semilinear Cauchy problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- On the Maxwell-Klein-Gordon equation with finite energy
- On the regularity properties of a model problem related to wave maps
- On the equation \(\square u=|\nabla u|^2\) in \(5+1\) dimensions
- A sharp bilinear cone restriction estimate
- Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\)
- Generalized Strichartz inequalities for the wave equation
- Smoothing estimates for null forms and applications
- On the optimal local regularity for gauge field theories
- A bilinear approach to the restriction and Kakeya conjectures
- Endpoint Strichartz estimates
- Local and global results for wave maps I
- On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹
- Space‐time estimates for null forms and the local existence theorem
- Remark on the optimal regularity for equations of wave maps type
- On An Endpoint Case Of The KlainermanMachedon Estimates
- Low regularity local solutions for field equations
- A restriction theorem for the Fourier transform
