On the Green’s function for second order parabolic differential equations with discontinuous coefficients
HTML articles powered by AMS MathViewer
- by D. G. Aronson PDF
- Bull. Amer. Math. Soc. 69 (1963), 841-847
References
- S. Bochner and A. E. Taylor, Linear functionals on certain spaces of abstractly-valued functions, Ann. of Math. (2) 39 (1938), no. 4, 913–944. MR 1503445, DOI 10.2307/1968472
- Avner Friedman, Convergence of solutions of parabolic equations to a steady state, J. Math. Mech. 8 (1959), 57–76. MR 0101963, DOI 10.1512/iumj.1959.8.58004 3. O. A. Ladyženskaja and N. N. Ural’ceva, A boundary-value problem for linear and quasi-linear parabolic equations. I, Izv. Akad. Nauk SSSR Ser. Mat. 26 (1962), 5-52. (Russian)
- W. Littman, G. Stampacchia, and H. F. Weinberger, Regular points for elliptic equations with discontinuous coefficients, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 17 (1963), 43–77. MR 161019
- J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math. 80 (1958), 931–954. MR 100158, DOI 10.2307/2372841
- W. Pogorzelski, Étude d’une fonction de Green et du problème aux limites pour l’équation parabolique normale, Ann. Polon. Math. 4 (1958), 288–307 (French). MR 106344
- Guido Stampacchia, Régularisation des solutions de problèmes aux limites elliptiques à données discontinues, Proc. Internat. Sympos. Linear Spaces (Jerusalem, 1960) Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1961, pp. 399–408 (French). MR 0146512
Additional Information
- Journal: Bull. Amer. Math. Soc. 69 (1963), 841-847
- DOI: https://doi.org/10.1090/S0002-9904-1963-11059-9
- MathSciNet review: 0155109