On local well-posedness for Hs-critical nonlinear Schrodinger equations

Tabata, Kosuke 和田健志島根大学 DOI:10.1007/s00028-023-00889-9

2023.04.24

概要

In this paper we consider the following Cauchy problem for the nonlinear Schrödinger
equation with power nonlinearity:
𝑖𝜕𝑡 𝑢 + Δ𝑢 = 𝑓 (𝑢) ≡ 𝜆|𝑢|𝛼 𝑢, ...

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On local well-posedness for Hs-critical nonlinear Schrodinger equations

概要

この論文で使われている画像

関連論文

WELL-POSEDNESS OF STOCHASTIC NONLINEAR HEAT AND WAVE EQUATIONS DRIVEN BY SUBORDINATE CYLINDRICAL BROWNIAN NOISES ON THE TWO-DIMENSIONAL TORUS (Nonlinear and Random Waves)

Well-posedness of mild solutions to the drift-diffusion and the vorticity equations in amalgam spaces

Maximal regularity of the heat evolution equation on spatial local spaces and application to a singular limit problem of the Keller–Segel system

EVOLUTION OF GAUSSIAN MEASURES AND APPLICATION TO THE ONE DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION (Nonlinear and Random Waves)

Long range scattering and blow-up problem for nonlinear dispersive equations

分野

大学

学位論文種類・取得年

言語

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On local well-posedness for Hs-critical nonlinear Schrodinger equations

概要

この論文で使われている画像

関連論文

WELL-POSEDNESS OF STOCHASTIC NONLINEAR HEAT AND WAVE EQUATIONS DRIVEN BY SUBORDINATE CYLINDRICAL BROWNIAN NOISES ON THE TWO-DIMENSIONAL TORUS (Nonlinear and Random Waves)

Well-posedness of mild solutions to the drift-diffusion and the vorticity equations in amalgam spaces

Maximal regularity of the heat evolution equation on spatial local spaces and application to a singular limit problem of the Keller–Segel system

EVOLUTION OF GAUSSIAN MEASURES AND APPLICATION TO THE ONE DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION (Nonlinear and Random Waves)

Long range scattering and blow-up problem for nonlinear dispersive equations