Haut PDF Non-linear rough heat equations
Non-linear rough heat equations
... evolution equations driven by usual Brownian motion, for which we refer to [9] for the infinite dimensional setting and to [8] for the multiparametric ...stochastic heat equation driven by an infinite ...
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Multiplicative stochastic heat equations on the whole space
... When ξ is a white noise in space, without dependence in time, this equation is indeed called the parabolic Anderson model (PAM). In dimension d ≥ 2, the equa- tion is ill-posed, due to the very singular product u · ξ. ...
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Some linear fractional stochastic equations
... of equations, which includes the rough paths theory and the stochastic calculus via regularization, can in general be solved by now standard ...stochastic equations) is more difficult to be ...
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Global solutions to rough differential equations with unbounded vector fields
... a rough differential equation whose vector field has a linear ...as non-geometric rough paths with values in any suitable (finite or infinite dimensional) ...
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Non-Incremental Boundary Element Discretization of non-linear heat equation based on the use of the Proper Generalized Decompositions
... differential equations whose kernel functions are known. The heat equation is one of these candidates when the thermal parameters are assumed constant (linear ...called heat equation is ...
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Constructive exact control of semilinear 1D heat equations
... 6 Conclusions Exact controllability of (1) has been established in [17], under a growth condition on g, by means of a Kakutani fixed point argument that is not constructive. Under the slightly stronger growth condition ...
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Sensitivity of rough differential equations: an approach through the Omega lemma
... Perturbed linear rough differential equations, ...differential equations driven by fractional Brownian motion, Stochastic differential equations: theory and applications, ...fractional ...
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Fast Hybrid Schemes for Fractional Riccati Equations (Rough is not so Tough)
... a linear combination of solutions of Euler schemes with coarse and refined steps, so that the same accuracy can be obtained with a dramatic reduction of the computation time (see Talay and Tubaro (1990) and Pag` ...
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RANS Computation of Heat Transfer Over Rough Surfaces
... for rough surface, DEM can be used to treat the momentum and the heat flux ...to rough flows was developed for academic rough- ness elements (Coleman et ...distributed rough surfaces by ...
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CONTROLLABILITY UNDER POSITIVITY CONSTRAINTS OF SEMILINEAR HEAT EQUATIONS
... parabolic equations allows proving that the same property holds under positivity constraints on the ...the linear heat equation, that constrained controllability does not hold when the time horizon ...
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Constructing general rough differential equations through flow approximations
... The non-linear sewing lemma constructs flows of rough differential equations from a braod class of approximations called almost ...differential equations, in the spirit of the backward ...
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Comparison of different non-linear equations and corresponding unitarization schemes
... usual non-linear equations, such as the BK equation [5], are connected with perturbative and non-perturbative infrared effects that lead to the saturation regime at large impact ...
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Decoupling Abstractions of Non-linear Ordinary Differential Equations
... 3 Vanderbilt University, Nashville, TN, USA taylor.johnson@vanderbilt.edu Abstract. We investigate decoupling abstractions, by which we seek to simulate (i.e. abstract) a given system of ordinary differential ...
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Equations for solar heat gain through windows
... Dcsigii valucs oi' the solar ~,adiatioii rcachiiig the suifacc1 of t t ~ c earth shoulcl bc based oil a statistical analysis of solar-radiatioii rcco~~cls. If tlicy [r] ...
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Zeros of Solutions and Their Derivatives of Higher Order Non-homogeneous Linear Differential Equations
... [12] Z. Latreuch, B. Bela¨ıdi: On the zeros of solutions and their derivatives of second order non-homogeneous linear differential equations. Miskolc Math. Notes 16 (1) (2015) 237–248. [13] B. Ya. ...
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ON THE GROWTH OF SOLUTIONS OF HOMOGENEOUS AND NON-HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS
... where A 0 (z) 6≡ 0, A 1 (z) , · · · , A k−1 (z) and F (z) 6≡ 0 are meromorphic functions of finite iterated p−order. Several authors [3, 4, 7, 8, 16, 19] have investigated the growth of solutions of second order and ...
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On the zeros of solutions and their derivatives of second order non-homogenous linear differential equations
... We assume that the reader is familiar with the usual notations and basic results of the Nevanlinna theory [ 8 , 17 ]. In addition, we will use .f / and .f / to denote respectively the exponents of convergence of the ...
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Linear and non-linear price decentralization
... a linear price equilibrium problem, the second welfare theorem, and the limit theorem on the core are provided for exchange economies whose consumption sets are the positive cone of arbitrary ordered Fr´echet ...
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Energy preserving scheme for non linear systems of wave equations. Application to piano strings.
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ...
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Relative controllability of linear difference equations
... is the vector of positive delays, A = (A 1 , . . . , A N ) ∈ M d (C) N is a N-tuple of d × d complex-valued matrices, and B ∈ M d,m (C) is a d × m complex-valued matrix. An important motivation for the study of ( 1.1 ) ...
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