• [1] Felix E. Browder, On the regularity properties of solutions of elliptic differential equations, Comm. Pure Appl. Math. 9 (1956), 351–361. MR 0090740, https://doi.org/10.1002/cpa.3160090307
• [2] William Feller, The parabolic differential equations and the associated semi-groups of transformations, Ann. of Math. (2) 55 (1952), 468–519. MR 0047886, https://doi.org/10.2307/1969644
• [3] K. O. Friedrichs, Symmetric positive linear differential equations, Comm. Pure Appl. Math. 11 (1958), 333–418. MR 0100718, https://doi.org/10.1002/cpa.3160110306
• [4] Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, vol. 31, American Mathematical Society, Providence, R. I., 1957. rev. ed. MR 0089373
• [5] Seizô Itô, Fundamental solutions of parabolic differential equations and boundary value problems, Jap. J. Math. 27 (1957), 55–102. MR 0098240
• [6] P. D. Lax and R. S. Phillips, Local boundary conditions for dissipative symmetric linear differential operators, Comm. Pure Appl. Math. 13 (1960), 427–455. MR 0118949, https://doi.org/10.1002/cpa.3160130307
• [7] G. Lumer and R. S. Phillips, Dissipative operators in Banach spaces, submitted to Pacific J. Math.
• [8] C. B. Morrey Jr., Second-order elliptic systems of differential equations, Contributions to the theory of partial differential equations, Annals of Mathematics Studies, no. 33, Princeton University Press, Princeton, N. J., 1954, pp. 101–159. MR 0068091
• [9] Louis Nirenberg, Remarks on strongly elliptic partial differential equations, Comm. Pure Appl. Math. 8 (1955), 649–675. MR 0075415, https://doi.org/10.1002/cpa.3160080414
• [10] R. S. Phillips, Dissipative operators and hyperbolic systems of partial differential equations, Trans. Amer. Math. Soc. 90 (1959), 193–254. MR 0104919, https://doi.org/10.1090/S0002-9947-1959-0104919-1
• [11] R. S. Phillips, Dissipative operators and parabolic partial differential equations., Comm. Pure Appl. Math. 12 (1959), 249–276. MR 0107083, https://doi.org/10.1002/cpa.3160120206
• [12] Kôsaku Yosida, Integration of Fokker-Planck’s equation with a boundary condition, J. Math. Soc. Japan 3 (1951), 69–73. MR 0045293, https://doi.org/10.2969/jmsj/00310069
• [13] Kôsaku Yosida, On the integration of diffusion equations in Riemannian spaces, Proc. Amer. Math. Soc. 3 (1952), 864–873. MR 0052017, https://doi.org/10.1090/S0002-9939-1952-0052017-7
• [14] -, On the differentiability of semi-groups of linear operators, Proc. Japan Acad. vol. 34 (1958) pp. 337-340.
• [15] Kôsaku Yosida, An abstract analyticity in time for solutions of a diffusion equation., Proc. Japan Acad. 35 (1959), 109–113. MR 0105559

Bibliography

[1]

F. Browder, On regularity properties of solutions of elliptic differential equations, Comm. Pure Appl. Math. vol. 9 (1956) pp. 351-356. MR 0090740 (19:862a)

[2]

W. Feller, The parabolic differential equations and the associated semi-groups of transformations, Ann. of Math. vol. 55 (1952) pp. 468-519. MR 0047886 (13:948a)

[3]

K. O. Friedrichs, Symmetric positive linear differential equations, Comm. Pure Appl. Math. vol. 11 (1958) pp. 333-418. MR 0100718 (20:7147)

[4]

E. Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Colloquium Publications, vol. 31, New York, 1957. MR 0089373 (19:664d)

[5]

S. Ito, Fundamental solutions of parabolic differential equations and boundary value problems, Jap. J. Math. vol. 27 (1957) pp. 55-102. MR 0098240 (20:4702)

[6]

P. D. Lax and R. S. Phillips, Local boundary conditions for dissipative symmetric linear differential operators, Comm. Pure Appl. Math. vol. 13 (1960) pp. 427-455. MR 0118949 (22:9718)

[7]

G. Lumer and R. S. Phillips, Dissipative operators in Banach spaces, submitted to Pacific J. Math.

[8]

C. B. Morrey, Second order elliptic systems of differential equations, Annals of Mathematics Studies, no. 33, Princeton University Press, 1954, pp. 101-159. MR 0068091 (16:827e)

[9]

L. Nirenberg, Remarks on strongly elliptic partial differential equations, Comm. Pure Appl. Math. vol. 8 (1955) pp. 648-674. MR 0075415 (17:742d)

[10]

R. S. Phillips, Dissipative operators and hyperbolic systems of partial differential equations, Trans. Amer. Math. Soc. vol. 90 (1959) pp. 193-254. MR 0104919 (21:3669)

[11]

-, Dissipative operators and parabolic partial differential equations, Comm. Pure Appl. Math. vol. 12 (1959) pp. 249-276. MR 0107083 (21:5810)

[12]

K. Yosida, Integration of Fokker-Planck's equation with a boundary condition, J. Math. Soc. Japan vol. 3 (1951) pp. 69-73. MR 0045293 (13:560b)

[13]

-, On the integration of diffusion equations in Riemannian spaces, Proc. Amer. Math. Soc. vol. 3 (1952) pp. 864-873. MR 0052017 (14:560g)

[14]

-, On the differentiability of semi-groups of linear operators, Proc. Japan Acad. vol. 34 (1958) pp. 337-340.

[15]

-, An abstract analyticity in time for solutions of a diffusion equation, Proc. Japan Acad. vol. 35 (1959) pp. 109-113. MR 0105559 (21:4298)