메뉴 건너뛰기




Volumn 29, Issue 6, 1998, Pages 1381-1398

Finite speed of propagation for the porous media equation

Author keywords

Energy solution; Free boundary; Porous media equation

Indexed keywords


EID: 0032388027     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141096298072     Document Type: Article
Times cited : (5)

References (18)
  • 1
    • 0000836987 scopus 로고
    • Quasilinear elliptic-parabolic differential equations
    • H. W. ALT AND S. LUCKHAUS, Quasilinear elliptic-parabolic differential equations, Math. Z., 183 (1983), pp. 311-341.
    • (1983) Math. Z. , vol.183 , pp. 311-341
    • Alt, H.W.1    Luckhaus, S.2
  • 2
    • 84914830669 scopus 로고
    • p bounds of solutions of reaction-diffusion equations
    • p bounds of solutions of reaction-diffusion equations, Comm. Partial Differential Equations, 4 (1979), pp. 827-868.
    • (1979) Comm. Partial Differential Equations , vol.4 , pp. 827-868
    • Alikakos, N.D.1
  • 4
    • 0011468611 scopus 로고
    • On dipole solutions in problems of nonstationary filtration of gas under polytropic regime
    • G. I. BARENBLATT AND V. B. ZEL'DOVICH, On dipole solutions in problems of nonstationary filtration of gas under polytropic regime, Prikl. Mat. Mekh., 21 (1957), pp. 718-720.
    • (1957) Prikl. Mat. Mekh. , vol.21 , pp. 718-720
    • Barenblatt, G.I.1    Zel'dovich, V.B.2
  • 5
    • 84974488955 scopus 로고
    • Finite speed of propagation and asymptotic rates for some higher order parabolic equations with absorption
    • F. BERNIS, Finite speed of propagation and asymptotic rates for some higher order parabolic equations with absorption, Proc. Roy. Soc. Edinburgh Sect. A, 104 (1986), pp. 1-19.
    • (1986) Proc. Roy. Soc. Edinburgh Sect. A , vol.104 , pp. 1-19
    • Bernis, F.1
  • 6
    • 0001433601 scopus 로고
    • Existence results for "doubly" nonlinear higher order parabolic equations on un-bounded domains
    • F. BERNIS, Existence results for "doubly" nonlinear higher order parabolic equations on un-bounded domains, Math. Ann., 279 (1988), pp. 373-394.
    • (1988) Math. Ann. , vol.279 , pp. 373-394
    • Bernis, F.1
  • 7
    • 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), pp. 319-352.
    • (1988) Houston J. Math. , vol.14 , pp. 319-352
    • Bernis, F.1
  • 8
    • 0016986163 scopus 로고
    • On a class of similarity solutions of the porous media equation
    • B. H. GILDING AND L. A. PELETIER, On a class of similarity solutions of the porous media equation, J. Math. Anal. Appl., 55 (1976), pp. 351-364.
    • (1976) J. Math. Anal. Appl. , vol.55 , pp. 351-364
    • Gilding, B.H.1    Peletier, L.A.2
  • 9
    • 0002973412 scopus 로고
    • Sur la resolution d'une inequation paraboliques non lineaires
    • O. GRANGE AND F. MIGNOT, Sur la resolution d'une inequation paraboliques non lineaires, J. Funct. Anal., 11 (1972), pp. 77-92.
    • (1972) J. Funct. Anal. , vol.11 , pp. 77-92
    • Grange, O.1    Mignot, F.2
  • 11
    • 0002255927 scopus 로고
    • The dipole solution for the porous medium equation in several space dimensions
    • J. HULSHOF AND J. L. VAZQUEZ, The dipole solution for the porous medium equation in several space dimensions, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 20 (1993), pp. 193-217.
    • (1993) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.20 , Issue.4 , pp. 193-217
    • Hulshof, J.1    Vazquez, J.L.2
  • 12
    • 0039419112 scopus 로고
    • Solutions with compact support for non linear diffusion equations
    • Y. JINGXUE, Solutions with compact support for non linear diffusion equations, Nonlinear Anal., 19 (1992), pp. 309-321.
    • (1992) Nonlinear Anal. , vol.19 , pp. 309-321
    • Jingxue, Y.1
  • 13
    • 0000467105 scopus 로고
    • Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
    • in Russian
    • A. S. KALASHNIKOV, Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations, Uspekhi Mat. Nauk, 42 (1987), pp. 135-176 (in Russian); translated in Russian Math. Surveys, 42 (1987), pp. 169-222.
    • (1987) Uspekhi Mat. Nauk , vol.42 , pp. 135-176
    • Kalashnikov, A.S.1
  • 14
    • 84862599035 scopus 로고
    • A. S. KALASHNIKOV, Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations, Uspekhi Mat. Nauk, 42 (1987), pp. 135-176 (in Russian); translated in Russian Math. Surveys, 42 (1987), pp. 169-222.
    • (1987) Russian Math. Surveys , vol.42 , pp. 169-222
  • 16
    • 0040011343 scopus 로고
    • Estimate of finite speed of stabilization of the solution of the initial-boundary problem for the porous media equation on unbounded domain
    • A. F. TEDEEV, Estimate of finite speed of stabilization of the solution of the initial-boundary problem for the porous media equation on unbounded domain, Mat. Zametki, 3 (1995), pp. 473-476; translated in Math. Notes, 3 (1995), pp. 329-331.
    • (1995) Mat. Zametki , vol.3 , pp. 473-476
    • Tedeev, A.F.1
  • 17
    • 0040011346 scopus 로고
    • A. F. TEDEEV, Estimate of finite speed of stabilization of the solution of the initial-boundary problem for the porous media equation on unbounded domain, Mat. Zametki, 3 (1995), pp. 473-476; translated in Math. Notes, 3 (1995), pp. 329-331.
    • (1995) Math. Notes , vol.3 , pp. 329-331
  • 18
    • 85033877878 scopus 로고    scopus 로고
    • Local and global properties of solutions of a Cauchy-Dinchlet problem for quasilinear second order parabolic equation in unbounded domain
    • to appear
    • A. F. TEDEEV, Local and global properties of solutions of a Cauchy-Dinchlet problem for quasilinear second order parabolic equation in unbounded domain, in Differentsial'nye Uravneniya, to appear.
    • Differentsial'nye Uravneniya
    • Tedeev, A.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.