# Second order unbounded parabolic equations in separated form

Studia Mathematica (1995)

- Volume: 115, Issue: 3, page 291-310
- ISSN: 0039-3223

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topKocan, Maciej, and Święch, Andrzej. "Second order unbounded parabolic equations in separated form." Studia Mathematica 115.3 (1995): 291-310. <http://eudml.org/doc/216214>.

@article{Kocan1995,

abstract = {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'.},

author = {Kocan, Maciej, Święch, Andrzej},

journal = {Studia Mathematica},

keywords = {second order unbounded parabolic equations; viscosity solutions; Cauchy problems; Hamilton-Jacobi-Bellman-Isaacs equations; infinite-dimensional Hilbert spaces},

language = {eng},

number = {3},

pages = {291-310},

title = {Second order unbounded parabolic equations in separated form},

url = {http://eudml.org/doc/216214},

volume = {115},

year = {1995},

}

TY - JOUR

AU - Kocan, Maciej

AU - Święch, Andrzej

TI - Second order unbounded parabolic equations in separated form

JO - Studia Mathematica

PY - 1995

VL - 115

IS - 3

SP - 291

EP - 310

AB - 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'.

LA - eng

KW - second order unbounded parabolic equations; viscosity solutions; Cauchy problems; Hamilton-Jacobi-Bellman-Isaacs equations; infinite-dimensional Hilbert spaces

UR - http://eudml.org/doc/216214

ER -

## References

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