메뉴 건너뛰기




Volumn 311, Issue 1, 1998, Pages 107-123

Maximum and comparison principle for one-dimensional anisotropic diffusion

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032382150     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080050179     Document Type: Article
Times cited : (78)

References (29)
  • 2
    • 0026883886 scopus 로고
    • Image selective smoothing and edge detection by nonlinear diffusion II
    • Alvarez, L., Lions, P.L., Morel, J.M.: Image selective smoothing and edge detection by nonlinear diffusion II. SIAM J. Numer. Anal. 29 (1992), 845-866
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 845-866
    • Alvarez, L.1    Lions, P.L.2    Morel, J.M.3
  • 3
    • 0040682601 scopus 로고
    • A degenerate pseudo-parabolic regularization of a nonlinear forward-backward heat equation arising in the theory of heat and mass exchange in stable stratified turbulent shear flow
    • Barenblatt, G., Bertsch, M., dal Passo, R., Ughi, M.: A degenerate pseudo-parabolic regularization of a nonlinear forward-backward heat equation arising in the theory of heat and mass exchange in stable stratified turbulent shear flow. SIAM J. Math. Anal. 24 (1993), 1414-1439
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 1414-1439
    • Barenblatt, G.1    Bertsch, M.2    Dal Passo, R.3    Ughi, M.4
  • 4
    • 0038869184 scopus 로고
    • Sur une équation d'évolution changeant de type
    • Baouendi, M.S., Grisvard, P.: Sur une équation d'évolution changeant de type. J. Functional Analysis 2 (1968), 352-369
    • (1968) J. Functional Analysis , vol.2 , pp. 352-369
    • Baouendi, M.S.1    Grisvard, P.2
  • 5
    • 0011839536 scopus 로고
    • On an equation of mixed type from electron scattering theory
    • Beals, R.: On an equation of mixed type from electron scattering theory. J. Math. Anal. Appl. 58 (1977), 32-45
    • (1977) J. Math. Anal. Appl. , vol.58 , pp. 32-45
    • Beals, R.1
  • 6
    • 0040477420 scopus 로고
    • Analytical and numerical studies of equations with sign changing viscosity coefficient
    • Singular Perturbations and Boundary Layer Theory, Eds.: C.M. Brauner, B. Gay, J. Mathieu
    • Berezin, Y., Dudnikova, G.I., Novikov, V.A., Yanenko, N.N.: Analytical and numerical studies of equations with sign changing viscosity coefficient. In: Singular Perturbations and Boundary Layer Theory, Eds.: C.M. Brauner, B. Gay, J. Mathieu. Springer Lecture Notes in Math. 594 (1976) pp. 30-38
    • (1976) Springer Lecture Notes in Math. , vol.594 , pp. 30-38
    • Berezin, Y.1    Dudnikova, G.I.2    Novikov, V.A.3    Yanenko, N.N.4
  • 7
    • 0039292490 scopus 로고    scopus 로고
    • personal communication
    • De Giorgi, E.: personal communication
    • De Giorgi, E.1
  • 8
    • 0003192355 scopus 로고
    • On the solvability of transonic potential flow problems
    • Feistauer, M., Nečas, J.: On the solvability of transonic potential flow problems, Z. Anal. Anwendungen 4 (1985) 305-329
    • (1985) Z. Anal. Anwendungen , vol.4 , pp. 305-329
    • Feistauer, M.1    Nečas, J.2
  • 9
    • 0039884522 scopus 로고
    • On a backward-forward parabolic equation and its regularization
    • Freidlin, M., Weinberger, H.: On a backward-forward parabolic equation and its regularization. J. Differ. Equations 105 (1993) 264-295
    • (1993) J. Differ. Equations , vol.105 , pp. 264-295
    • Freidlin, M.1    Weinberger, H.2
  • 10
    • 0002521899 scopus 로고
    • Sur les équations aux dérivées du type parabolique
    • Gevrey, M.: Sur les équations aux dérivées du type parabolique. J. Math. Pures Appliq. 9 (1913), 305-471
    • (1913) J. Math. Pures Appliq. , vol.9 , pp. 305-471
    • Gevrey, M.1
  • 11
    • 0038869182 scopus 로고
    • Sur les équations aux dérivées partielles du type parabolique
    • Gevrey, M.: Sur les équations aux dérivées partielles du type parabolique. J. Math. Pures Appliq. 10 (1914), 105-137
    • (1914) J. Math. Pures Appliq. , vol.10 , pp. 105-137
    • Gevrey, M.1
  • 12
    • 84967713009 scopus 로고
    • Existence of infinitely many solutions for a forward-backward heat equation
    • Höllig, K.: Existence of infinitely many solutions for a forward-backward heat equation. Trans. Amer. Math. Soc. 278 (1983), 299-316
    • (1983) Trans. Amer. Math. Soc. , vol.278 , pp. 299-316
    • Höllig, K.1
  • 13
  • 14
    • 0038982740 scopus 로고
    • Global behaviour of solutions to a parabolic mean curvature equation. Differ
    • Kawohl, B., Kutev, N.: Global behaviour of solutions to a parabolic mean curvature equation. Differ. Integral Equations 8 (1995), 1923-1946
    • (1995) Integral Equations , vol.8 , pp. 1923-1946
    • Kawohl, B.1    Kutev, N.2
  • 16
    • 0031256990 scopus 로고    scopus 로고
    • The Perona-Malik paradox
    • Kichenassamy, S.: The Perona-Malik paradox, SIAM J. Appl. Math. 57 (1997), 1328-1342
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1328-1342
    • Kichenassamy, S.1
  • 19
    • 0039884517 scopus 로고
    • Properties of approximate solutions of nonlinear equations of variable type
    • Lavrentiev, M.M. Jr.: Properties of approximate solutions of nonlinear equations of variable type. Siber. Math. J. 21 (1980) p. 874-882
    • (1980) Siber. Math. J. , vol.21 , pp. 874-882
    • Lavrentiev M.M., Jr.1
  • 20
    • 0041049212 scopus 로고    scopus 로고
    • ∞ bound for a time discrete regularization of a forward-backward parabolic equation
    • ∞ bound for a time discrete regularization of a forward-backward parabolic equation. Indiana Univ. Math. J. 45 (1996) p.683-693
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 683-693
    • Muler, N.1
  • 21
    • 0039292472 scopus 로고
    • Existence and nonexistence theorems for a class equation of mixed type
    • Novikov, V.A.: Existence and nonexistence theorems for a class equation of mixed type. Soviet Mathematics, Doklady 22 (1980), 260-263
    • (1980) Soviet Mathematics, Doklady , vol.22 , pp. 260-263
    • Novikov, V.A.1
  • 23
    • 0039635474 scopus 로고
    • On a forward-backward parabolic equation
    • Pagani, C.D., Talenti, G.: On a forward-backward parabolic equation. Ann. Mat. Pura ed Appl. 90 (1971), 1-58
    • (1971) Ann. Mat. Pura Ed Appl. , vol.90 , pp. 1-58
    • Pagani, C.D.1    Talenti, G.2
  • 24
    • 0025465145 scopus 로고
    • Scale space and edge detection using anisotropic diffusion
    • Perona, P., Malik, J.: Scale space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12 (1990) 629-639
    • (1990) IEEE Trans. Pattern Anal. Mach. Intell. , vol.12 , pp. 629-639
    • Perona, P.1    Malik, J.2
  • 27
    • 0039884509 scopus 로고
    • On well-posed problems for some equations of variable type
    • Vragov, V.N., Podgaev, A.G.: On well-posed problems for some equations of variable type. Soviet. Math. Doklady 24 (1981), 253-257
    • (1981) Soviet. Math. Doklady , vol.24 , pp. 253-257
    • Vragov, V.N.1    Podgaev, A.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.