Second order unbounded parabolic equations in separated form
Studia Mathematica, Tome 115 (1995) no. 3, p. 291.

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We prove existence and uniqueness of viscosity solutions of Cauchy problems for fully nonlinear unbounded second order Hamilton-Jacobi-Bellman-Isaacs equations defined on the product of two infinite-dimensional Hilbert spaces H'× H'', where H'' is separable. The equations have a special "separated" form in the sense that the terms involving second derivatives are everywhere defined, continuous and depend only on derivatives with respect to x'' ∈ H'', while the unbounded terms are of first order and depend only on derivatives with respect to x' ∈ H'.
Classification : 35K10, 49L25
Mots-clés : second order unbounded parabolic equations, viscosity solutions, Cauchy problems, Hamilton-Jacobi-Bellman-Isaacs equations, infinite-dimensional Hilbert spaces 
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     author = {Maciej Kocan and Andrzej \'Swi\k{e}ch},
     title = {Second order unbounded parabolic equations in separated form},
     journal = {Studia Mathematica},
     pages = {291},
     publisher = {mathdoc},
     volume = {115},
     number = {3},
     year = {1995},
     zbl = {0832.49017},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/STUMA_1995__115_3_216214/}
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Maciej Kocan; Andrzej Święch. Second order unbounded parabolic equations in separated form. Studia Mathematica, Tome 115 (1995) no. 3, p. 291. https://geodesic-test.mathdoc.fr/item/STUMA_1995__115_3_216214/