Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity u ¯ 2 in Negative Sobolev Spaces. [PDF]
Liu R.
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Sharp local well-posedness results for the nonlinear wave equation
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
Well-Posedness of the Stochastic Thin-Film Equation with an Interface Potential. [PDF]
Agresti A, Sauerbrey M.
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Beyond diagonal noise: A better predator-prey modeling framework with cross-covariance. [PDF]
Yu J, Wang LS.
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Stability of Rayleigh-Jeans Equilibria in the Kinetic FPU Equation. [PDF]
Germain P, La J, Menegaki A.
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Data-driven, ML-assisted approaches to problem well-posedness. [PDF]
Bertalan T +5 more
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Stability in Quasineutral Plasmas with Thermalized Electrons. [PDF]
Griffin-Pickering M, Iacobelli M.
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Local well-posedness for the Schrödinger-KdV system in $H^{s_1}\times H^{s_2}$, II
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
Trace theory for parabolic boundary value problems with rough boundary conditions. [PDF]
Denk R, Roodenburg FB.
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On the Past Maximal Development of Near-FLRW Data for the Einstein Scalar-Field Vlasov System. [PDF]
Fajman D, Urban L.
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