• [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)

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)