메뉴 건너뛰기




Volumn 198, Issue 3, 1996, Pages 729-750

Instantaneous shrinking of the support of energy solutions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030584554     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0110     Document Type: Article
Times cited : (25)

References (28)
  • 1
    • 0000836987 scopus 로고
    • Quasiliner elliptic-parabolic differential equations
    • H. W. Alt and S. Luckhaus, Quasiliner elliptic-parabolic differential equations, Math. Zam. 183 (1983), 311-341.
    • (1983) Math. Zam. , vol.183 , pp. 311-341
    • Alt, H.W.1    Luckhaus, S.2
  • 2
    • 0002951865 scopus 로고
    • On the localization of solutions of nonlinear degenerate elliptic and parabolic equations
    • S. Antontsev, On the localization of solutions of nonlinear degenerate elliptic and parabolic equations, Soviet Math. Dokl. 24 (1981), 420-424.
    • (1981) Soviet Math. Dokl. , vol.24 , pp. 420-424
    • Antontsev, S.1
  • 5
    • 0011694229 scopus 로고
    • Extinction of the solutions of some quasilinear elliptic problems of arbitrary order
    • Amer. Math. Soc., Providence, RI
    • F. Bernis, Extinction of the solutions of some quasilinear elliptic problems of arbitrary order, in "Proceedings of Symposia in Pure Mathematics, Vol. 44, Amer. Math. Soc., Providence, RI, 1982.
    • (1982) Proceedings of Symposia in Pure Mathematics , vol.44
    • Bernis, F.1
  • 6
    • 0001448701 scopus 로고
    • Compactness of the support for some nonlinear elliptic problems of arbitrary order in dimension N
    • F. Bernis, Compactness of the support for some nonlinear elliptic problems of arbitrary order in dimension N, Comm. Partial Differential Equations 9, No. 3 (1984), 271-312.
    • (1984) Comm. Partial Differential Equations , vol.9 , Issue.3 , pp. 271-312
    • Bernis, F.1
  • 7
    • 84974488955 scopus 로고
    • Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption
    • F. Bernis, Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption, Proc. Roy. Soc. Edinburgh Sect. A 104 (1986), 1-19.
    • (1986) Proc. Roy. Soc. Edinburgh Sect. A , vol.104 , pp. 1-19
    • Bernis, F.1
  • 8
    • 0001433601 scopus 로고
    • Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
    • F. Bernis, Existence results for doubly nonlinear higher order parabolic equations on unbounded domains, Math. Ann. 279 (1988), 373-394.
    • (1988) Math. Ann. , vol.279 , pp. 373-394
    • Bernis, F.1
  • 9
    • 0000324185 scopus 로고
    • Qualitative properties for some nonlinear higher order degenerate parabolic equations
    • F. Bernis, Qualitative properties for some nonlinear higher order degenerate parabolic equations, Houston J. Math. 14 (1988), 319-352.
    • (1988) Houston J. Math. , vol.14 , pp. 319-352
    • Bernis, F.1
  • 11
    • 0001925970 scopus 로고
    • Estimates on the support of solutions of parabolic variational inequalities
    • H. Brezis, and A. Friedman, Estimates on the support of solutions of parabolic variational inequalities, Illinois J. Math. 20 (1976), 82-97.
    • (1976) Illinois J. Math. , vol.20 , pp. 82-97
    • Brezis, H.1    Friedman, A.2
  • 13
    • 0000500053 scopus 로고
    • Compacité du support des solutions d'equations quasilinéaires elliptiques ou paraboliques
    • J. I. Diaz, and L. Veron, Compacité du support des solutions d'equations quasilinéaires elliptiques ou paraboliques, C.R. Acad. Sci. Paris 297 (1983), 149-152.
    • (1983) C.R. Acad. Sci. Paris , vol.297 , pp. 149-152
    • Diaz, J.I.1    Veron, L.2
  • 14
    • 84967800050 scopus 로고
    • Local vanishing properties of solutions of elliptic and parabolic equations
    • J. I. Diaz and L. Veron, Local vanishing properties of solutions of elliptic and parabolic equations, Trans. Amer. Math. Soc. 20 (1985), 787-814.
    • (1985) Trans. Amer. Math. Soc. , vol.20 , pp. 787-814
    • Diaz, J.I.1    Veron, L.2
  • 15
    • 84972539551 scopus 로고
    • Instantaneous shrinking of the support of nonnegative solutions to certain parabolic equations and variational inequalities
    • L. C. Evans and B. F. Knerr, Instantaneous shrinking of the support of nonnegative solutions to certain parabolic equations and variational inequalities, Illinois J. Math. 23 (1979), 153-166.
    • (1979) Illinois J. Math. , vol.23 , pp. 153-166
    • Evans, L.C.1    Knerr, B.F.2
  • 16
    • 84966220953 scopus 로고
    • Instantaneous shrinking in nonlinear diffusion-convection
    • B. H. Gilding and R. Kersner, Instantaneous shrinking in nonlinear diffusion-convection, Proc. Amer. Math. Soc. 109 (1990), 385-394.
    • (1990) Proc. Amer. Math. Soc. , vol.109 , pp. 385-394
    • Gilding, B.H.1    Kersner, R.2
  • 17
    • 0011621093 scopus 로고
    • On the dependence of properties of solutions of parabolic equations in unbounded domains on the behaviour of the coefficients at infinity
    • A. S. Kalashnikov, On the dependence of properties of solutions of parabolic equations in unbounded domains on the behaviour of the coefficients at infinity, Math. USSR-Sb. 53 (1986), 399-410.
    • (1986) Math. USSR-Sb. , vol.53 , pp. 399-410
    • Kalashnikov, A.S.1
  • 18
    • 0003157118 scopus 로고
    • On the conditions of instantaneous compactification of supports of solutions of semilinear parabolic equations and systems
    • A. S. Kalashnikov, On the conditions of instantaneous compactification of supports of solutions of semilinear parabolic equations and systems, Math. Zametki 47 (1990), 74-80.
    • (1990) Math. Zametki , vol.47 , pp. 74-80
    • Kalashnikov, A.S.1
  • 19
    • 0001507490 scopus 로고
    • On quasilinear degenerate parabolic equations with singular lower order terms and growing initial conditions
    • A. S. Kalashnikov, On quasilinear degenerate parabolic equations with singular lower order terms and growing initial conditions, Differentsial'nye Uravnenija 29, No. 6 (1993), 999-1009.
    • (1993) Differentsial'nye Uravnenija , vol.29 , Issue.6 , pp. 999-1009
    • Kalashnikov, A.S.1
  • 20
    • 0000901574 scopus 로고
    • On the behaviour of solutions of the Cauchy problem for parabolic systems with nonlinear dissipation
    • A. S. Kalashnikov, On the behaviour of solutions of the Cauchy problem for parabolic systems with nonlinear dissipation, Trudy Sem. Petrovsk. 16 (1992), 106-113.
    • (1992) Trudy Sem. Petrovsk. , vol.16 , pp. 106-113
    • Kalashnikov, A.S.1
  • 21
    • 38249007848 scopus 로고
    • The nonlinear heat equation with absorption: Effects of variable coefficients
    • R. Kersner and F. Nicolosi, The nonlinear heat equation with absorption: effects of variable coefficients, J. Math. Anal. Appl. 170 (1992), 551-566.
    • (1992) J. Math. Anal. Appl. , vol.170 , pp. 551-566
    • Kersner, R.1    Nicolosi, F.2
  • 22
    • 0001951050 scopus 로고
    • Shocks and free boundary: The local behaviour
    • R. Kersner, R. Natalini, and A. Tesei, Shocks and free boundary: The local behaviour, Asymptotic Anal. 10 (1995), 77-93.
    • (1995) Asymptotic Anal. , vol.10 , pp. 77-93
    • Kersner, R.1    Natalini, R.2    Tesei, A.3
  • 26
    • 0001245121 scopus 로고
    • On the estimates of the rate of propagation of perturbations in quasilinear divergent degenerated parabolic equations of the high order
    • A. E. Shishkov, On the estimates of the rate of propagation of perturbations in quasilinear divergent degenerated parabolic equations of the high order, Ukrain. Math. Zh.; English transl. Ukrainian Math. J. 44 (1992), 1451-1456.
    • (1992) Ukrain. Math. Zh.; English Transl. Ukrainian Math. J. , vol.44 , pp. 1451-1456
    • Shishkov, A.E.1
  • 27
    • 0001420466 scopus 로고
    • Dynamics of the geometry of the support of the generalized solution of a higher order quasi linear parabolic equation in divergence form
    • A. E. Shishkov, Dynamics of the geometry of the support of the generalized solution of a higher order quasi linear parabolic equation in divergence form, Differentsial'nye Uravnenija, English transl. Differential Equations 29 (1993), 537-547.
    • (1993) Differentsial'nye Uravnenija, English Transl. Differential Equations , vol.29 , pp. 537-547
    • Shishkov, A.E.1
  • 28
    • 85029961189 scopus 로고    scopus 로고
    • unpublished manuscript
    • L. Tartar, unpublished manuscript.
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.