논문KCI 등재
Global solutions of the exponential wave equation with small initial data
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We study the initial value problem of the exponential wave equation in Rn+1 for small initial data. We shows, in the case of n = 1, the global existence of solution by applying the formulation of first order quasilinear hyperbolic system which is weakly linearly degenerate. When n ≥ 2, a vector field method is applied to show the stability of a trivial solution Φ= 0.
Abstract
We study the initial value problem of the exponential wave equation in Rn+1 for small initial data. We shows, in the case of n = 1, the global existence of solution by applying the formulation of first order quasilinear hyperbolic system which is weakly linearly degenerate. When n ≥ 2, a vector field method is applied to show the stability of a trivial solution Φ= 0.
참고문헌 (16)
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관련 논문AI추천
EXPONENTIAL BEHAVIOR FOR SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEM WITH EPSILON PERTURBATION김대욱영남수학회 · East Asian Mathematical Journal2023 · 제39권 제1호Global Small Solutions of the Cauchy Problem for NonisotropicSchodinger EquationsShangbin Cui, Xiangqing Zhao경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호SOLUTIONS OF QUASILINEAR WAVE EQUATION WITH STRONG AND NONLINEAR VISCOSITY황진수, Hiroki Tanabe, Shin-ichi Nakagiri대한수학회 · 대한수학회지2011 · 제48권 제4호Global solutions for a class of nonlinear sixth-order wave equationYing Wang대한수학회 · 대한수학회보2018 · 제55권 제4호GLOBAL EXISTENCE AND UNIFORM DECAY OF COUPLED WAVE EQUATION OF KIRCHHOFF TYPE IN A NONCYLINDRICAL DOMAIN하태갑대한수학회 · 대한수학회지2017 · 제54권 제4호Global nonexistence for the wave equation with boundary variable exponent nonlinearities박선혜, 하태갑대한수학회 · 대한수학회지2022 · 제59권 제1호
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