Exploring nonlinear chaotic systems with applications in stochastic processes. [PDF]
Abdelwahed HG +5 more
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Fear-driven predator-prey dynamics with prey refuge: analytical framework and physics-informed neural network approach. [PDF]
Ramraj G, Poornima T.
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Quantum Cosmology in Krylov Space: Complexity and Entropy. [PDF]
Motaharfar M, Siebersma MR, Singh P.
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Some Parabolic Equations with Unbounded Coefficients
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Generation of Analytic Semigroups by Elliptic Operators with Unbounded Coefficients
SIAM Journal on Mathematical Analysis, 1987This paper concerns the connections between (parabolic) partial differential equations and the abstract theory of evolution equations. The authors consider second order elliptic operators \[ E=\sum a_{ij}(x)D_{ij}+\sum b_ i(x)D_ i-c(x),\quad x\in {\mathbb{R}}^ N \] allowing the lower order coefficients \(b_ i(x)\) and c(x) to be unbounded at infinity ...
Vincenzo Vespri, Piermarco Cannarsa
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Continuity of the Filter with Unbounded Observation Coefficients
In this article, we study the continuity with respect to the trajectories of the observation process for the filter associated with nonlinear filtering problems when the coefficients depend on both the signal and the observation and the observation coefficient is unbounded.
Patrick Florchinger, NAPPO, Giovanna
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Noncoercive elliptic equations with discontinuous coefficients in unbounded domains [PDF]
In this paper we study Dirichlet problems for noncoercive linear elliptic equations with discontinuous coefficients in unbounded domains.
Sara Monsurrõ +2 more
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Lp-uniqueness for elliptic operators with unbounded coefficients inRN [PDF]
Let A be an elliptic operator with unbounded and sufficiently smooth coefficients and let μ be a (sub)-invariant measure of the operator A. In this paper we give sufficient conditions guaranteeing that the closure of the operator (A,Cc∞(RN)) generates a ...
Luca Lorenzi +2 more
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Kernel estimates for parabolic systems of partial differential equations with unbounded coefficients
We provide pointwise upper bounds for the transition kernels of semigroups associated with a class of systems of nondegenerate elliptic partial differential equations with unbounded coefficients with possibly unbounded diffusion coefficients, which may ...
Luca Lorenzi, Davide Addona
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Riccati equations with unbounded coefficients
Annali di Matematica Pura ed Applicata, 1985We give some results on the operator Riccati equation arising in linear quadratic optimal control problems. Our theory covers boundary control as well as pointwise control problems.
G. Da Prato, A. Ichikawa
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