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Volumn 204, Issue 3, 1996, Pages 868-883

Gradient estimates of periodic solutions for some quasilinear parabolic equations

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EID: 0030589808     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0473     Document Type: Article
Times cited : (13)

References (13)
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    • Alikakos, N.D.1    Rostamian, R.2
  • 2
    • 0002360528 scopus 로고
    • Periodic solutions of a quasilinear parabolic differential equation
    • 2. D. Bange, Periodic solutions of a quasilinear parabolic differential equation, J. Differential Equations 17 (1975), 61-72.
    • (1975) J. Differential Equations , vol.17 , pp. 61-72
    • Bange, D.1
  • 3
    • 0000297197 scopus 로고
    • Gradient estimates for solutions of parabolic equations and systems
    • 3. H. Engler, B. Kawohl, and S. Luckhaus, Gradient estimates for solutions of parabolic equations and systems, J. Math. Anal. Appl. 147 (1990), 309-329.
    • (1990) J. Math. Anal. Appl. , vol.147 , pp. 309-329
    • Engler, H.1    Kawohl, B.2    Luckhaus, S.3
  • 4
    • 0000140423 scopus 로고
    • Anti-periodic solutions of some nonlinear evolution equations
    • 4. A. Haraux, Anti-periodic solutions of some nonlinear evolution equations, Maunscripta Math. 63 (1989), 479-505.
    • (1989) Maunscripta Math. , vol.63 , pp. 479-505
    • Haraux, A.1
  • 5
    • 0021581580 scopus 로고
    • Periodic solutions of some nonlinear degenerate parabolic equations
    • 5. M. Nakao, Periodic solutions of some nonlinear degenerate parabolic equations, J. Math. Anal. Appl. 104 (1984), 554-567.
    • (1984) J. Math. Anal. Appl. , vol.104 , pp. 554-567
    • Nakao, M.1
  • 6
    • 51249169119 scopus 로고
    • Energy decay for the quasilinear wave equation with viscosity
    • 6. M. Nakao, Energy decay for the quasilinear wave equation with viscosity, Math. Z. 219 (1995), 289-299.
    • (1995) Math. Z. , vol.219 , pp. 289-299
    • Nakao, M.1
  • 7
    • 0000587967 scopus 로고    scopus 로고
    • Gradient estimates for a quasilinear parabolic equation of the mean curvature type
    • 7. M. Nakao and Y. Ohara, Gradient estimates for a quasilinear parabolic equation of the mean curvature type, J. Math. Soc. Japan 48 (1996), 455-466.
    • (1996) J. Math. Soc. Japan , vol.48 , pp. 455-466
    • Nakao, M.1    Ohara, Y.2
  • 8
    • 85029963565 scopus 로고    scopus 로고
    • Gradient estimates for some quasilinear parabolic equations with nonmonotonic perturbations
    • in press
    • 8. Y. Ohara, Gradient estimates for some quasilinear parabolic equations with nonmonotonic perturbations, Adv. Math. Sci. Appl., in press.
    • Adv. Math. Sci. Appl.
    • Ohara, Y.1
  • 9
    • 38249017538 scopus 로고
    • On the existence of anti-periodic solutions to nonlinear evolution equation associated with odd subdifferential operators
    • 9. H. Okochi, On the existence of anti-periodic solutions to nonlinear evolution equation associated with odd subdifferential operators, J. Funct. Anal. 91 (1990), 771-783.
    • (1990) J. Funct. Anal. , vol.91 , pp. 771-783
    • Okochi, H.1
  • 10
    • 0000159292 scopus 로고
    • Periodic solutions of a non-linear parabolic equations
    • 10. T. I. Seidman, Periodic solutions of a non-linear parabolic equations, J. Differential Equations 19 (1975), 242-257.
    • (1975) J. Differential Equations , vol.19 , pp. 242-257
    • Seidman, T.I.1
  • 11
    • 0001400081 scopus 로고
    • Periodic solutions of the first boundary-value problem for parabolic equations
    • 11. I. I. Smulev, Periodic solutions of the first boundary-value problem for parabolic equations, Mat. Sb. 66 (1965), 398-410; Amer. Math. Soc. Transi. Ser. 79 (1969), 215-229.
    • (1965) Mat. Sb. , vol.66 , pp. 398-410
    • Smulev, I.I.1
  • 12
    • 0000781748 scopus 로고
    • 11. I. I. Smulev, Periodic solutions of the first boundary-value problem for parabolic equations, Mat. Sb. 66 (1965), 398-410; Amer. Math. Soc. Transi. Ser. 79 (1969), 215-229.
    • (1969) Amer. Math. Soc. Transi. Ser. , vol.79 , pp. 215-229


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.