An application of Markov operators in differential and integral equations
Rendiconti del Seminario Matematico della Università di Padova, Tome 87 (1992), pp. 281-297. 
@article{RSMUP_1992__87__281_0,
     author = {Malczak, Jan},
     title = {An application of {Markov} operators in differential and integral equations},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {281--297},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {87},
     year = {1992},
     mrnumber = {1183912},
     zbl = {0795.60071},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1992__87__281_0/}
}
TY  - JOUR
AU  - Malczak, Jan
TI  - An application of Markov operators in differential and integral equations
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1992
SP  - 281
EP  - 297
VL  - 87
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_1992__87__281_0/
LA  - en
ID  - RSMUP_1992__87__281_0
ER  - 
%0 Journal Article
%A Malczak, Jan
%T An application of Markov operators in differential and integral equations
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1992
%P 281-297
%V 87
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_1992__87__281_0/
%G en
%F RSMUP_1992__87__281_0
Malczak, Jan. An application of Markov operators in differential and integral equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 87 (1992), pp. 281-297. http://archive.numdam.org/item/RSMUP_1992__87__281_0/

[ArB66] D.G. Aronson - P. Besala, Uniqueness of solutions of the Cauchy problem for parabolic equations, J. Math. Anal. Appl., 13 (1966), pp. 516-526. | MR | Zbl

[ArB67a] D.G. Aronson - P. Besala, Uniqueness of positive solutions of parabolic equations with unbounded coefficients, Coll. Math., 18 (1967), pp. 125-135. | MR | Zbl

[ArB67b] D.G. Aronson - P. Besala, Parabolic equations with unbounded coefficients, J. Diff. Eqs., 3 (1967), pp. 1-14. | MR | Zbl

[Aro65] D.G. Aronson, Uniqueness of positive weak solutions of parabolic equations, Ann. Polon. Math., 16 (1965), pp. 285-303. | MR | Zbl

[Bes75] P. Besala, On the existence of a fundamental solution for parabolic differential equation with unbounded coefficients, Ann. Polon. Math., 29 (1975), pp. 403-409. | MR | Zbl

[Bod66] W. Bodanko, Sur le probléme de Cauchy et les problémes de Fourier pour les équations paraboliques dans un domaine non borné, Ann. Polon. Math., 18 (1966), pp. 79-74. | MR | Zbl

[Cha70a] J. Chabrowski, Remarques sur l'unicité du probléme de Cauchy, Colloq. Math., 21 (1970), pp. 133-139. | MR | Zbl

[Cha70b] J. Chabrowski, Sur la construction de la solution fondamentale de l'équation parabolique aux coefficients non borné, Colloq. Math., 21 (1970), pp. 141-148. | MR | Zbl

[Eid69] S.D. Eidelman, Parabolic Systems, North-Holland Publ. Company, Amsterdam and Wolters-Noordhoff Publ., Gröningen (1969). | MR | Zbl

[Fel65] J. Feldman, Integral kernels and invariant measures for Markov transition functions, Ann. Math. Statist., 36 (1965), pp. 517-523. | MR | Zbl

[Fog69] S.R. Foguel, The Ergodic Theory of Markov Processes, Van Nostrand Reinhold, New York (1969). | MR | Zbl

[Fri64] A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs (1964). | MR | Zbl

[IK062] A.M. Il'In - A.S. Kalashnikov - O.A. Olejnik, Second order linear equations of parabolic type, Russian Math. Surveys (Uspiehi Mat. Nauk.), 17, 3 (1962), pp. 1-143. | MR

[Krz64] M. Krzy, Sur les solutions non negative de l'équation lineaire normale parabolique, Rev. Roum. Math. Pures Appl., 9 (1964), pp. 393-408. | MR | Zbl

[LaM85] A. Lasota - M.C. Mackey, Probabilistic Properties of Deterministic Systems, Cambridge Univ. Press (1985). | MR | Zbl

[Ser54] J. Serrin, A uniqueness theorem for the parabolic equation ut = = a(x) uxx + b(x) ux + c(x) u, Bull. Amer. Math. Soc., 60 (1954), p. 344.

[TyH86] J.J. Tyson - K.B. Hannsgen, Cell growth and division: a deterministic/probabilistic model of the cell cycle, J. Math. Biology, 23 (1986), pp. 231-246. | MR | Zbl

[Wid44] D. Widder, Positive temperatures on an infinite rod, Trans. Amer. Math. Soc., 55 (1944), pp. 85-95. | MR | Zbl