Zobrazeno 1 - 10 of 49 pro vyhledávání: '"Tae Gab Ha"'
1
Akademický článek
Existence and energy decay rate of the solutions for the wave equation with a nonlinear distributed delay
Autor: Tae Gab Ha, Seyun Kim
Publikováno v: AIMS Mathematics, Vol 8, Iss 5, Pp 10513-10528 (2023)
This paper is concerned with the wave equation having a nonlinear distributed delay. First, we prove the local existence of the solutions by using the semigroup theory, where the source term is globally Lipschitz. Next, we establish the global existe
Externí odkaz: https://doaj.org/article/3de05df70eef4a5bab2320974bcf9b61
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2
Akademický článek
Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity
Autor: Tae Gab Ha, Sun-Hye Park
Publikováno v: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-17 (2020)
Abstract In this paper we consider the initial boundary value problem for a viscoelastic wave equation with strong damping and logarithmic nonlinearity of the form u t t ( x , t ) − Δ u ( x , t ) + ∫ 0 t g ( t − s ) Δ u ( x , s ) d s − Δ u
Externí odkaz: https://doaj.org/article/0f56ffa798d14b3da6aa1d95dae7f271
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3
Akademický článek
On Coupled Klein-Gordon-Schrödinger Equations with Acoustic Boundary Conditions
Autor: Tae Gab Ha, Jong Yeoul Park
Publikováno v: Boundary Value Problems, Vol 2010 (2010)
Externí odkaz: https://doaj.org/article/9c3c824e24fd4cd29645e9c474d7f232
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4
Akademický článek
Finite time blow-up to the Cauchy problem in a higher dimensional two species chemotaxis system.
Autor: Tae Gab Ha, Seyun Kim
Publikováno v: Mathematical Methods in the Applied Sciences; 5/15/2024, Vol. 47 Issue 7, p6633-6651, 19p
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5
Existence and asymptotic stability of solutions for a hyperbolic equation with logarithmic source
Autor: Tae Gab Ha
Publikováno v: Applicable Analysis. 102:1144-1160
In this paper, we consider a hyperbolic equation with a logarithmic source term. This work is devoted to prove the global existence and the uniform energy decay rates of a weak solution applying th...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1134bef4eb5e57f85c836318b0278104
https://doi.org/10.1080/00036811.2021.1979216
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6
Global Solutions and Blow-Up for the Wave Equation with Variable Coefficients: I. Interior Supercritical Source
Autor: Tae Gab Ha
Publikováno v: Applied Mathematics & Optimization. 84:767-803
In this paper, we consider the variable coefficient wave equation with damping and supercritical source terms. The goal of this work is devoted to prove the local and global existence, and classify decay rate of energy depending on the growth near ze
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4d591c64548671391bf2ddae2f9fada5
https://doi.org/10.1007/s00245-021-09785-5
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10
Energy decay rate for the wave equation with variable coefficients and boundary source term
Autor: Tae Gab Ha
Publikováno v: Applicable Analysis. 100:2301-2314
In this paper, we consider the wave equation with variable coefficients and boundary source term. This work is devoted to prove the uniform energy decay rates of the wave equation with variable coe...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2fb47f2d95cdc4c2f876279700be9849
https://doi.org/10.1080/00036811.2019.1680828
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