Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
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Publication:1122695
DOI10.1215/S0012-7094-88-05619-0zbMath0676.35009OpenAlexW1549904239MaRDI QIDQ1122695
Publication date: 1988
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-88-05619-0
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear first-order PDEs (35F20) Nonlinear higher-order PDEs (35G20)
Related Items (27)
On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow ⋮ A Fractional Friedrich's lemma for holder norms and applications ⋮ Analyticity and Smoothness for a Class of First Order Nonlinear PDEs ⋮ Gevrey micro-regularity for solutions to first order nonlinear PDE ⋮ Régularité de la solution d'un problème de Cauchy fortement non linéaire à données singulières en un point. (Regularity of the solution of a strongly nonlinear Cauchy problem with singular data in a point) ⋮ Viscous profiles of vortex patches ⋮ Viscous vortex patches ⋮ Global Regularity of NonDiffusive Temperature Fronts for the Two-Dimensional Viscous Boussinesq System ⋮ Singularités des solutions d'équations d'ondes semi-linéaires ⋮ Approximate solutions of vector fields and an application to Denjoy–Carleman regularity of solutions of a nonlinear PDE ⋮ Evolution temporelle d'une poche de tourbillon singuliere ⋮ On the Cauchy problem for gravity water waves ⋮ Global persistence of geometrical structures for the Boussinesq equation with no diffusion ⋮ The motion of the particles of a two-dimensional ideal incompressible fluid ⋮ MICROLOCAL REGULARITY FOR MIZOHATA TYPE DIFFERENTIAL OPERATORS ⋮ On microlocal analyticity and smoothness of solutions of first-order nonlinear PDEs ⋮ Interaction contrôlée dans les équations aux dérivées partielles non linéaires ⋮ Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear PDEs ⋮ On the water-wave equations with surface tension ⋮ On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations ⋮ On the Analyticity of Solutions of First-Order Nonlinear PDE ⋮ Conservation of Geometric Structures for Non-Homogeneous Inviscid Incompressible Fluids ⋮ Evolution d'une singularite ponctuelle dans un fluide compressible ⋮ On microlocal analyticity of solutions of first-order nonlinear PDE ⋮ Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque ⋮ HIGH ORDER PARACONTROLLED CALCULUS ⋮ On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium
Cites Work
- Propagation et interaction des singularités pour les équations hyperboliques semi-linéaires en dimension 1 d'espace. (Propagation and interaction of singularities of semilinear hyperbolic equations in one space dimension)
- Self-spreading and strength of singularities for solutions to semilinear wave equations
- Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
- Remarks on the appearance of singularities in incompressible Euler flows with Hölder initial data
- Propagation of C ∞ Regularity for Fully Nonlinear Second Order Strictly Hyperbolic Equations in Two Variables
- Paracomposition et operateurs paradifferentiels
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
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