Results 111 to 120 of about 18,832,328 (177)

Sharp local well-posedness results for the nonlinear wave equation

open access: yes, 2005
This article is concerned with local well-posedness of the Cauchy problem for second order quasilinear hyperbolic equations with rough initial data.
Smith, Hart, Tataru, Daniel
core  

Data-driven, ML-assisted approaches to problem well-posedness. [PDF]

open access: yesPNAS Nexus
Bertalan T   +5 more
europepmc   +1 more source

Local well-posedness for the Schrödinger-KdV system in $H^{s_1}\times H^{s_2}$, II

open access: yes
In this paper, we continue the study of the local well-posedness theory for the Schrödinger-KdV system in the Sobolev space $H^{s_1}\times H^{s_2}$. We show the local well-posedness in $H^{-3/16}\times H^{-3/4}$ for $β= 0$.
Zhang, Ying, Ban, Yingzhe, Chen, Jie
core  

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