메뉴 건너뛰기




Volumn 53, Issue 6, 2007, Pages 940-947

A three-point boundary value problem with an integral two-space-variables condition for parabolic equations

Author keywords

Energy inequalities; Equation of mixed type; Integral boundary two space variables condition; Three point boundary conditions; Weighted Sobolev spaces

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

EID: 34248190802     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.04.031     Document Type: Article
Times cited : (13)

References (24)
  • 1
    • 0039995580 scopus 로고
    • Some problems in differential equations theory
    • Samarskii A.A. Some problems in differential equations theory. Differ. Uravn. 16 11 (1980) 1221-1228
    • (1980) Differ. Uravn. , vol.16 , Issue.11 , pp. 1221-1228
    • Samarskii, A.A.1
  • 2
    • 0001265252 scopus 로고
    • A parabolic equation with nonlocal boundary conditions arising from electrochemistry
    • Choi Y.S., and Chan K.Y. A parabolic equation with nonlocal boundary conditions arising from electrochemistry. Nonlinear Anal. 18 (1992) 317-331
    • (1992) Nonlinear Anal. , vol.18 , pp. 317-331
    • Choi, Y.S.1    Chan, K.Y.2
  • 3
    • 0026138893 scopus 로고
    • A class of parameter estimation techniques for fluid flow in porous media
    • Ewing R.E., and Lin T. A class of parameter estimation techniques for fluid flow in porous media. Adv. Water Ressources 14 (1991) 89-97
    • (1991) Adv. Water Ressources , vol.14 , pp. 89-97
    • Ewing, R.E.1    Lin, T.2
  • 4
    • 21144477093 scopus 로고
    • Weak solution to evolution problem with a nonlocal constraint
    • Shi P. Weak solution to evolution problem with a nonlocal constraint. Siam J. Anal. 24 (1993) 46-58
    • (1993) Siam J. Anal. , vol.24 , pp. 46-58
    • Shi, P.1
  • 5
    • 0039403619 scopus 로고
    • Three-point boundary-value problem with an integral space-variable condition for a second-order parabolic equation
    • Kartynnik A.V. Three-point boundary-value problem with an integral space-variable condition for a second-order parabolic equation. Differ. Equ. 26 (1990) 1160-1166
    • (1990) Differ. Equ. , vol.26 , pp. 1160-1166
    • Kartynnik, A.V.1
  • 6
    • 84968496723 scopus 로고
    • Second-order correct boundary conditions for the numerical solution of the mixed boundary problem for parabolic equations
    • Batten Jr. G.W. Second-order correct boundary conditions for the numerical solution of the mixed boundary problem for parabolic equations. Math. Comput. 17 (1963) 405-413
    • (1963) Math. Comput. , vol.17 , pp. 405-413
    • Batten Jr., G.W.1
  • 7
    • 0040588759 scopus 로고    scopus 로고
    • Mixed problem with integral conditions for a third order parabolic equation
    • Bouziani A., and Benouar N.E. Mixed problem with integral conditions for a third order parabolic equation. Kobe J. Math. 15 (1998) 47-58
    • (1998) Kobe J. Math. , vol.15 , pp. 47-58
    • Bouziani, A.1    Benouar, N.E.2
  • 8
    • 0001073548 scopus 로고
    • The solution of the heat equation subject to the specification of energy
    • Cannon J.R. The solution of the heat equation subject to the specification of energy. Quart. Appl. Math. 21 (1963) 155-160
    • (1963) Quart. Appl. Math. , vol.21 , pp. 155-160
    • Cannon, J.R.1
  • 10
    • 0023364649 scopus 로고
    • A Galerkin procedure for the diffusion equation subject to the specification of mass
    • Cannon J.R., Perez Esteva S., and Van Der Hoek J. A Galerkin procedure for the diffusion equation subject to the specification of mass. Siam J. Numer. Anal. 24 (1987) 499-515
    • (1987) Siam J. Numer. Anal. , vol.24 , pp. 499-515
    • Cannon, J.R.1    Perez Esteva, S.2    Van Der Hoek, J.3
  • 11
    • 0000610591 scopus 로고
    • Solution of a boundary-value problem in heat condition with a nonclassical boundary condition
    • Ionkin N.I. Solution of a boundary-value problem in heat condition with a nonclassical boundary condition. Differ. Uravn. 13 (1977) 294-304
    • (1977) Differ. Uravn. , vol.13 , pp. 294-304
    • Ionkin, N.I.1
  • 12
    • 9544219662 scopus 로고
    • A boundary value problem in the theory of the heat condition with non classical boundary condition
    • Kamynin N.I. A boundary value problem in the theory of the heat condition with non classical boundary condition. U.S.S.R. Comput. Math. Math. Phys. 4 (1964) 33-59
    • (1964) U.S.S.R. Comput. Math. Math. Phys. , vol.4 , pp. 33-59
    • Kamynin, N.I.1
  • 13
    • 0026685362 scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA
    • Shi P., and Shillor M. Design of Contact Patterns in One Dimensional Thermoelasticity. Theoretical Aspects of Industrial Design (1992), Society for Industrial and Applied Mathematics, Philadelphia, PA
    • (1992) Theoretical Aspects of Industrial Design
    • Shi, P.1    Shillor, M.2
  • 14
    • 34248171845 scopus 로고    scopus 로고
    • High order differential equations with integral boundary condition
    • Marhoune A.L., and Bouzit M. High order differential equations with integral boundary condition. Far East J. Math. Sci. 18 3 (2005) 341-450
    • (2005) Far East J. Math. Sci. , vol.18 , Issue.3 , pp. 341-450
    • Marhoune, A.L.1    Bouzit, M.2
  • 15
    • 20744447442 scopus 로고    scopus 로고
    • Mixed problem with integral boundary condition for a high order mixed type partial differential equation
    • Denche M., and Marhoune A.L. Mixed problem with integral boundary condition for a high order mixed type partial differential equation. J. Appl. Math. Stochastic Anal. 16 1 (2003) 69-79
    • (2003) J. Appl. Math. Stochastic Anal. , vol.16 , Issue.1 , pp. 69-79
    • Denche, M.1    Marhoune, A.L.2
  • 16
    • 20444410677 scopus 로고    scopus 로고
    • Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type
    • Denche M., and Marhoune A.L. Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type. Int. J. Math. Math. Sci. 26 7 (2001) 417-426
    • (2001) Int. J. Math. Math. Sci. , vol.26 , Issue.7 , pp. 417-426
    • Denche, M.1    Marhoune, A.L.2
  • 17
    • 3042572430 scopus 로고    scopus 로고
    • High-order mixed type partial differential equations with integral boundary conditions
    • Denche M., and Marhoune A.L. High-order mixed type partial differential equations with integral boundary conditions. Electron. J. Differ. Equ. 2000 60 (2000) 1-10
    • (2000) Electron. J. Differ. Equ. , vol.2000 , Issue.60 , pp. 1-10
    • Denche, M.1    Marhoune, A.L.2
  • 18
    • 0009178324 scopus 로고
    • Mixed problem with an integral condition for certain parabolic equations
    • Yurchuk N.I. Mixed problem with an integral condition for certain parabolic equations. Differ. Equ. 22 (1986) 1457-1463
    • (1986) Differ. Equ. , vol.22 , pp. 1457-1463
    • Yurchuk, N.I.1
  • 19
    • 0039403619 scopus 로고
    • Three-point boundary-value problem with an integral space-variable condition for a second-order parabolic equation
    • Kartynnik A.V. Three-point boundary-value problem with an integral space-variable condition for a second-order parabolic equation. Differ. Equ. 26 9 (1990) 1160-1166
    • (1990) Differ. Equ. , vol.26 , Issue.9 , pp. 1160-1166
    • Kartynnik, A.V.1
  • 20
    • 0041025614 scopus 로고    scopus 로고
    • A three-point boundary value problem with an Integral condition for parabolic equations with the Bessel operator
    • Denche M., and Marhoune A.L. A three-point boundary value problem with an Integral condition for parabolic equations with the Bessel operator. Appl. Math. Lett. 13 (2000) 85-89
    • (2000) Appl. Math. Lett. , vol.13 , pp. 85-89
    • Denche, M.1    Marhoune, A.L.2
  • 21
  • 22
    • 34248224856 scopus 로고    scopus 로고
    • J. Prüss, G. Simonett, Maximal regularity for evolution equations in weighted Lp-spaces, Fachbereich Mathematik und Informatik, Martin-Luter-Universität Halle-Wittenberg, July 2002
  • 23
    • 0001098734 scopus 로고    scopus 로고
    • Heat Kernels and Maximal Lp-Lq estimates for parabolic evolution equations
    • Hieber M., and Prüss J. Heat Kernels and Maximal Lp-Lq estimates for parabolic evolution equations. Comm. Partial Differ. Equ. 22 (1997) 164761669
    • (1997) Comm. Partial Differ. Equ. , vol.22 , pp. 164761669
    • Hieber, M.1    Prüss, J.2
  • 24
    • 0040445654 scopus 로고
    • On maximal Lp-regularity for abstract Cauchy problem
    • Cannarasa P., and Vespri V. On maximal Lp-regularity for abstract Cauchy problem. Boll. Unione Mat. Italiana (1986) 165-175
    • (1986) Boll. Unione Mat. Italiana , pp. 165-175
    • Cannarasa, P.1    Vespri, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.