메뉴 건너뛰기




Volumn 29, Issue 7, 2006, Pages 751-765

Modified KdV equation with a source term in a bounded domain

Author keywords

Korteweg de Vries equation; Kuramoto Sivashinsky equation; Mixed problems; Stability

Indexed keywords

DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 33646202627     PISSN: 01704214     EISSN: 10991476     Source Type: Journal    
DOI: 10.1002/mma.704     Document Type: Article
Times cited : (32)

References (20)
  • 1
    • 8744267958 scopus 로고
    • On global solutions of the modified KdV equation in inhomogeneous media
    • Tsutsumi M. On global solutions of the modified KdV equation in inhomogeneous media. Funkcialaj Ekvacioj 1972; 15:161-172.
    • (1972) Funkcialaj Ekvacioj , vol.15 , pp. 161-172
    • Tsutsumi, M.1
  • 5
    • 84968502715 scopus 로고
    • Well-posedness of the initial value problem for the Korteweg-de Vries equation
    • Kenig C, Ponce G, Vega L. Well-posedness of the initial value problem for the Korteweg-de Vries equation. SIAM Journal on Mathematical Analysis 1991; 4:323-347.
    • (1991) SIAM Journal on Mathematical Analysis , vol.4 , pp. 323-347
    • Kenig, C.1    Ponce, G.2    Vega, L.3
  • 6
    • 0009389147 scopus 로고
    • Initial boundary value problems for the Korteweg-de Vries equation
    • Bui AT. Initial boundary value problems for the Korteweg-de Vries equation. Journal of Differential Equations 1977; 25:288-309.
    • (1977) Journal of Differential Equations , vol.25 , pp. 288-309
    • Bui, A.T.1
  • 7
    • 0141672894 scopus 로고
    • Generalized boundary value problems for the Korteweg-de Vries equation in bounded domains
    • Bubnov BA. Generalized boundary value problems for the Korteweg-de Vries equation in bounded domains. Differential Equations 1979; 15:17-21.
    • (1979) Differential Equations , vol.15 , pp. 17-21
    • Bubnov, B.A.1
  • 9
    • 4344625747 scopus 로고    scopus 로고
    • Korteweg-de Vries and Kuramoto-Sivashinsky equations in bounded domains
    • Larkin NA. Korteweg-de Vries and Kuramoto-Sivashinsky equations in bounded domains. Journal of Mathematical Analysis and Applications 2004; 297:169-185.
    • (2004) Journal of Mathematical Analysis and Applications , vol.297 , pp. 169-185
    • Larkin, N.A.1
  • 10
    • 2442660120 scopus 로고    scopus 로고
    • Global boundary stabilization of the Korteweg-de Vries-Burgers equation
    • Lin W-J, Kristic M. Global boundary stabilization of the Korteweg-de Vries-Burgers equation. Computational and Applied Mathematics 2002; 21:315-354.
    • (2002) Computational and Applied Mathematics , vol.21 , pp. 315-354
    • Lin, W.-J.1    Kristic, M.2
  • 12
    • 0006658705 scopus 로고    scopus 로고
    • Dispersive smoothing effects for KdV type equations
    • Cai H. Dispersive smoothing effects for KdV type equations. Journal of Differential Equations 1997; 136: 191-221.
    • (1997) Journal of Differential Equations , vol.136 , pp. 191-221
    • Cai, H.1
  • 13
    • 0035922238 scopus 로고    scopus 로고
    • Smoothing properties of nonlinear dispersive equations in two spatial dimensions
    • Levandosky J. Smoothing properties of nonlinear dispersive equations in two spatial dimensions. Journal of Differential Equations 2001; 175:275-352.
    • (2001) Journal of Differential Equations , vol.175 , pp. 275-352
    • Levandosky, J.1
  • 15
    • 10844262878 scopus 로고    scopus 로고
    • On an initial boundary value problem in a bounded domain for the generalized Korteweg-de Vries equation
    • Faminskii AV. On an initial boundary value problem in a bounded domain for the generalized Korteweg-de Vries equation. Functional Differential Equations 2001; 8:183-194.
    • (2001) Functional Differential Equations , vol.8 , pp. 183-194
    • Faminskii, A.V.1
  • 18
    • 0002538288 scopus 로고
    • Ulteriori proprietá di alcune classi di funzioni in più variabili
    • Gagliardo E. Ulteriori proprietá di alcune classi di funzioni in più variabili. Ricerche di Matematica 1959; 8: 24-51.
    • (1959) Ricerche di Matematica , vol.8 , pp. 24-51
    • Gagliardo, E.1
  • 20
    • 0009108258 scopus 로고
    • On the non-linear wave equations
    • Browder FE. On the non-linear wave equations. Mathematische Zeitschrift 1962; 80:249-261.
    • (1962) Mathematische Zeitschrift , vol.80 , pp. 249-261
    • Browder, F.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.