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Volumn 30, Issue 2, 1997, Pages 877-885

Boundedness of global solutions of nonlocal parabolic equations

Author keywords

Boundedness; Global existence; Nonlocal parabolic equations

Indexed keywords


EID: 0039419119     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00356-8     Document Type: Article
Times cited : (14)

References (19)
  • 4
    • 0002634193 scopus 로고
    • Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions
    • CHIPOT M., FILA M. & QUITTNER P., Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions, Acta Math. Univ. Comenianae 60, 35-103 (1991).
    • (1991) Acta Math. Univ. Comenianae , vol.60 , pp. 35-103
    • Chipot, M.1    Fila, M.2    Quittner, P.3
  • 5
    • 84950012263 scopus 로고
    • Solutions globales d'équations de la chaleur semilinéaires
    • CAZENAVE T. & LIONS P.L., Solutions globales d'équations de la chaleur semilinéaires, Comm. Partial Differential Equations 9, 955-978 (1984).
    • (1984) Comm. Partial Differential Equations , vol.9 , pp. 955-978
    • Cazenave, T.1    Lions, P.L.2
  • 6
    • 38249009228 scopus 로고
    • Boundedness of global solutions of nonlinear diffusion equations
    • FILA M., Boundedness of global solutions of nonlinear diffusion equations, J. Differential Equations 98, 226-240 (1992).
    • (1992) J. Differential Equations , vol.98 , pp. 226-240
    • Fila, M.1
  • 7
    • 0000788993 scopus 로고
    • Boundedness of global solutions for the heat equation with nonlinear boundary conditions
    • FILA M., Boundedness of global solutions for the heat equation with nonlinear boundary conditions, Comm. Math. Univ. Carol. 30, 479-484 (1989).
    • (1989) Comm. Math. Univ. Carol. , vol.30 , pp. 479-484
    • Fila, M.1
  • 8
    • 84968503362 scopus 로고
    • Remarks on blow up for a nonlinear parabolic equation with a gradient term
    • FILA M., Remarks on blow up for a nonlinear parabolic equation with a gradient term, Proc. A.M.S. 111, 795-801 (1991).
    • (1991) Proc. A.M.S. , vol.111 , pp. 795-801
    • Fila, M.1
  • 10
    • 0001464964 scopus 로고
    • A bound for global solutions of semilinear heat equations
    • GIGA Y., A bound for global solutions of semilinear heat equations, Comm. Math. Phys. 103, 415-421 (1986).
    • (1986) Comm. Math. Phys. , vol.103 , pp. 415-421
    • Giga, Y.1
  • 11
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer-Verlag, New York
    • HENRY D., Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, Vol. 840, Springer-Verlag, New York (1981).
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 12
    • 84988164328 scopus 로고
    • Study of global solutions of parabolic equations via a priori estimates. Patt I: Equations with principal elliptic part equal to the Laplacian
    • LIEBERMAN G.M., Study of global solutions of parabolic equations via a priori estimates. Patt I: equations with principal elliptic part equal to the Laplacian, Math. Methods Appl. Sci. 16, 457-474 (1993).
    • (1993) Math. Methods Appl. Sci. , vol.16 , pp. 457-474
    • Lieberman, G.M.1
  • 13
    • 0011049912 scopus 로고
    • Study of global solutions of parabolic equations via a priori estimates II: Porous medium equations
    • LIEBERMAN G.M., Study of global solutions of parabolic equations via a priori estimates II: porous medium equations, Comm. Appl. Nonlin. Anal. 1, 93-115 (1994).
    • (1994) Comm. Appl. Nonlin. Anal. , vol.1 , pp. 93-115
    • Lieberman, G.M.1
  • 14
    • 0043118979 scopus 로고    scopus 로고
    • Study of global solutions of parabolic equations via a priori estimates III. Equations of p-Laplacian type
    • Banach Center Publications, PWN, Warszawa
    • LIEBERMAN G.M., Study of global solutions of parabolic equations via a priori estimates III. Equations of p-Laplacian type, in Singularities and Differential Equations, Banach Center Publications, Vol. 33, pp. 199-221, PWN, Warszawa (1996).
    • (1996) Singularities and Differential Equations , vol.33 , pp. 199-221
    • Lieberman, G.M.1
  • 15
    • 0002842122 scopus 로고
    • On the asymptotic behavior of solutions of certain quasilinear parabolic equations
    • NI W.M., SACKS P.E. & TAVANTZIS J., On the asymptotic behavior of solutions of certain quasilinear parabolic equations, J. Differential Equations 54, 97-120 (1984).
    • (1984) J. Differential Equations , vol.54 , pp. 97-120
    • Ni, W.M.1    Sacks, P.E.2    Tavantzis, J.3
  • 16
    • 84972538944 scopus 로고
    • Boundedness of trajectories of parabolic equations and stationary solutions via dynamical methods
    • QUITTNER P., Boundedness of trajectories of parabolic equations and stationary solutions via dynamical methods, Diff. Int. Equations 7, 1547-1556 (1994).
    • (1994) Diff. Int. Equations , vol.7 , pp. 1547-1556
    • Quittner, P.1
  • 17
    • 85033116634 scopus 로고    scopus 로고
    • Signed solutions for a semilinear elliptic problem
    • to appear
    • QUITTNER P., Signed solutions for a semilinear elliptic problem, Diff. Int. Equations, to appear.
    • Diff. Int. Equations
    • Quittner, P.1
  • 18
    • 49049144160 scopus 로고
    • p-functionals in reaction-diffusion equations
    • p-functionals in reaction-diffusion equations, J. Differential Equations 45, 207-233 (1982).
    • (1982) J. Differential Equations , vol.45 , pp. 207-233
    • Rothe, F.1
  • 19
    • 85033114337 scopus 로고    scopus 로고
    • Boundedness of global solutions of one dimensional quasilinear parabolic equations
    • to appear
    • SUZUKI R., Boundedness of global solutions of one dimensional quasilinear parabolic equations, J. Math. Soc. Japan, to appear.
    • J. Math. Soc. Japan
    • Suzuki, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.