Uniquenessi n the cauchyp roblem for parabolice quations1

Transactions of the American Mathematical Society

Volumn 241, Issue , 1978, Pages 373-399

  Hayne, Roger M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

A priori estimate; Bessel functions; Cauchy problem; Extremal operators; Maximum principle; Partial differential equations; Second order parabolic equations; Uniqueness

Indexed keywords

EID: 0040789689     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-1978-0477456-4     Document Type: Article

References (9)

1. T. Carleman, Les fonetions quasianalytiques, Coll. Borel, Paris, 1926.
2. E. Holmgren, Sur les solutions quasianalytiques de Téquation de la chaleur, Ark. Mat. 18, (9) (1924), 1-9.
3. M. Krzyanski, Sur les solutions des equations du type parabolique determinées dans une region illimitee, Buli. Amer. Math. Soc. 47 (1941), 911-915.
4. C. Pucci, Operatori ellittici estremanti, Ann. Mat. Pura Appl. 72 (1966), 141-170.
5. P. C. Rosenbloom and D. V. Widder, A temperature funetion that vanishes initially, Amer. Math. Monthly 65 (1958), 607-609.
6. S. Täcklind, Sur les classes quasianalytiques des solutions des equations aux derivées partielles du type parabolique, Nova Acta Soc. Sci. Upsal. (4) 10 (1936), 1-57.
7. A. N. Tychonoff, Uniqueness theorems for the heat equation, Mat. Sb. 42 (1935), 199-216.
8. G. N. Watson, Treatise on the theory of Bessel funetions, Cambridge Univ. Press, London, 1944.
9. G. N. Zolotarev, The uniqueness of the solution of the Cauchy problem for systems parabolic in the sense of L G. Petrowskie Izv. Vyss Ucebn. Zaved. Matematika 2 (1958), 118-135. (Russian)