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On stochastic partial differential equations with Unbounded coefficients
Potential Analysis, 1992Existence, uniqueness and approximations of parabolic Itô equations are considered. The well-weighted Sobolev spaces are used. In particular stochastic partial differential equations (SPDE) with unbounded coefficients, SPDE whose coefficients grow faster than linear functions and SPDE on manifolds are discussed.
Gyöngy, István, Krylov, Nicolai V.
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Lyapunov Equivalence of Systems with Unbounded Coefficients
Journal of Mathematical Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON CONTROLLED DIFFUSION PROCESSES WITH UNBOUNDED COEFFICIENTS
Mathematics of the USSR-Izvestiya, 1982The paper is devoted to the general theory of controlled diffusion processes in a domain of a d-dimensional space in the absence of constraints on the growth of the coefficients at infinity. It turned out that the most suitable object of study is the payoff function in the optimal stopping problem for the controlled process.
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An Elliptic Problem with Unbounded Coefficients and Two Singularities
Bulletin of the Malaysian Mathematical Sciences Society, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Central Exponent of a System with Unbounded Coefficients
Journal of Mathematical Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the lindblad equation with unbounded time-dependent coefficients
Mathematical Notes, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chebotarev, A. M. +2 more
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Nonlinear problems with unbounded coefficients and $$L^1$$ data
Nonlinear Differential Equations and Applications NoDEA, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feo F., Guibé O.
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Hyperbolic Equations with Growing Coefficients in Unbounded Domains
Journal of Mathematical Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filinovskii A.V., Shomberg Joseph L.
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Annali di Matematica Pura ed Applicata, 2000
The authors prove the existence of a unique solution of the following Dirichlet problem for elliptic equations in divergence form \[ a_0(u,v) = \langle T,v\rangle \text{ for all } v \in H^1_0(\Omega), \] where \(\Omega\) is an open set in \(R^n\) and \[ a_0(u,v)=\int_\Omega(\sum^n_{i,j=1} a_{ij}u_{x_i}v_{x_j}+\sum^n_{i=1}b_iu_{x_i}v+cuv) dx.
M. CHICCO, VENTURINO, MARINA
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The authors prove the existence of a unique solution of the following Dirichlet problem for elliptic equations in divergence form \[ a_0(u,v) = \langle T,v\rangle \text{ for all } v \in H^1_0(\Omega), \] where \(\Omega\) is an open set in \(R^n\) and \[ a_0(u,v)=\int_\Omega(\sum^n_{i,j=1} a_{ij}u_{x_i}v_{x_j}+\sum^n_{i=1}b_iu_{x_i}v+cuv) dx.
M. CHICCO, VENTURINO, MARINA
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Forum Mathematicum, 2007
In this paper, the authors deal with the following Cauchy-Neumann problem \[ \begin{cases} D_tu-\mathcal{A}u( t,x) =0, &t>0,x\in \Omega , \\ \frac{\partial u}{\partial \nu }( t,x) =0, &t>0,\;x\in \partial \Omega , \\ u( 0,x) =f( x) , &x\in \overline{\Omega }\end{cases}\tag{1} \] where \(\Omega \) is sufficiently smooth bounded domain open subset of ...
M. BERTOLDI +2 more
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In this paper, the authors deal with the following Cauchy-Neumann problem \[ \begin{cases} D_tu-\mathcal{A}u( t,x) =0, &t>0,x\in \Omega , \\ \frac{\partial u}{\partial \nu }( t,x) =0, &t>0,\;x\in \partial \Omega , \\ u( 0,x) =f( x) , &x\in \overline{\Omega }\end{cases}\tag{1} \] where \(\Omega \) is sufficiently smooth bounded domain open subset of ...
M. BERTOLDI +2 more
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