摇曳的微光
发表于 2025-3-26 22:06:48
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incredulity
发表于 2025-3-27 05:00:10
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裂隙
发表于 2025-3-27 07:24:08
Regularity of Nonlinear Waves Associated with a Cusp,nsmooth at the singularity of the cusp. If . is a Tricomi operator associated with the cusp, and the natural initial data (Dirichlet or Cauchy) are conormal with respect to a hyperplane, then . is again shown to be conormal with respect to the cusp.
FLACK
发表于 2025-3-27 13:15:40
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THROB
发表于 2025-3-27 17:15:27
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凶残
发表于 2025-3-27 20:53:38
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wreathe
发表于 2025-3-27 23:00:09
Nonlinear Resonance Can Create Dense Oscillations,ing the mechanism which can produce such a phenomenon. The next two sections complete the construction of such solutions. The last section discusses some special considerations for the case of quadratic nonlinearities. We would like to acknowledge the help of our friends, Jean Fresnel with §2 and Jon Hunter with §4.
Ceramic
发表于 2025-3-28 02:10:36
Conormality, Cusps and Non-Linear Interaction,ounded elements in these spaces form algebras and that they have appropriate solvability properties for certain linear differential operators. This leads to the general approach discussed here, mixing microlocalization and blow-up techniques.
GLUE
发表于 2025-3-28 07:28:40
Quasimodes for the Laplace Operator and Glancing Hypersurfaces,the quasimode consists of the conic hull of the union of the bicharacteristics of the cosphere bundle .*Ω issuing from a family of invariant tori of the billiard ball map. To construct a quasimode near a gliding ray we find a global symplectic normal form for a pair of glancing hypersurfaces.
MOT
发表于 2025-3-28 14:26:15
Infinite Gain of Regularity for Dispersive Evolution Equations, of Kato appears to depend on special a priori estimates, some of its mystery has been resolved by the recent results of finite regularity for various other nonlinear dispersive equations due to Constantin and Saut , Ponce and others . However, all of them require growth conditions on the nonlinear term.