The 2D Kawahara Equation on a Half-Strip

被引：8
|
作者：
Larkin, Nikolai A. [1 ]
机构：
[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2014年 / 70卷 / 03期
关键词：
Kawahara equation; Dispersive equations; Exponential decay; KORTEWEG-DE-VRIES; ZAKHAROV-KUZNETSOV EQUATION; BOUNDARY-VALUE-PROBLEMS; WELL-POSEDNESS; SOLITARY WAVES; CAUCHY-PROBLEM; ZK EQUATION;
D O I：
10.1007/s00245-014-9246-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We formulate on a half-strip an initial boundary value problem for the two-dimensional Kawahara equation. Existence and uniqueness of a regular solution as well as the exponential decay rate for the elevated norm parallel to u parallel to(2)(H)((D)) (t) + parallel to u(xx)parallel to L-2(2) (D) ((t)) of small solutions as t -> infinity are proven.
引用
收藏
页码：443 / 468
页数：26
相关论文
共 50 条
  • [21] Dirichlet problem for the mixed type equation with two degeneration lines in a half-strip
    Vagapov, V. Z.
    [J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2019, 23 (01): : 7 - 19
  • [22] Identification of Unknown Filter in a Half-Strip
    Volodymyr Dilnyi
    Khrystyna Huk
    [J]. Acta Applicandae Mathematicae, 2020, 165 : 199 - 205
  • [23] Decay of Small Solutions for the Zakharov-Kuznetsov Equation posed on a half-strip
    Larkin, Nikolai A.
    Tronco, Eduardo
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2013, 31 (01): : 57 - 64
  • [24] Identification of Unknown Filter in a Half-Strip
    Dilnyi, Volodymyr
    Huk, Khrystyna
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2020, 165 (01) : 199 - 205
  • [25] Boundary Value Problem for the Laplace Equation with Mixed Boundary Conditions in a Half-Strip
    N. Yu. Kapustin
    D. D. Vasilchenko
    [J]. Differential Equations, 2024, 60 (12) : 1767 - 1772
  • [26] Classical Solution of the First Mixed Problem for the Wave Equation in a Curvilinear Half-Strip
    Korzyuk, V. I.
    Kozlovskaya, I. S.
    Naumavets, S. N.
    [J]. DIFFERENTIAL EQUATIONS, 2020, 56 (01) : 98 - 108
  • [27] Classical Solution of the First Mixed Problem for the Wave Equation in a Curvilinear Half-Strip
    V. I. Korzyuk
    I. S. Kozlovskaya
    S. N. Naumavets
    [J]. Differential Equations, 2020, 56 : 98 - 108
  • [28] To Solution of Contact Problem for Elastic Half-Strip
    Bosakov, S., V
    [J]. SCIENCE & TECHNIQUE, 2021, 20 (05): : 405 - 409
  • [29] ON SINGULARITIES OF THE STATE OF STRESS OF AN ORTHOTROPIC HALF-STRIP
    LOBODA, VV
    [J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1986, 50 (02): : 195 - 201
  • [30] CONTACT PROBLEM OF ELASTICITY THEORY FOR A HALF-STRIP
    KOPASENK.VV
    [J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1968, 32 (04): : 739 - &
12345