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Nonlinear partial differential equation

An averaging theory for nonlinear partial differential equations

An averaging theory for nonlinear partial differential equations

... ǫ −m , with arbitrary m (even of order exp ǫ −δ with δ > 0 in [ 4 , 68 , 15 ]). These results are obtained under the assumption that the frequencies are completely resonant or highly non-resonant (Diophantine-type), ...

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Accelerated finite elements schemes for parabolic stochastic partial differential equations

Accelerated finite elements schemes for parabolic stochastic partial differential equations

... in nonlinear filtering of partially observed diffusion ...deterministic partial differential equations (PDEs) it has been proved that such expansions exist and that Richardson extrapolations can ...

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In-Domain Control of Partial Differential Equations

In-Domain Control of Partial Differential Equations

... Burgers’ equation is one of the most elaborated parabolic partial differential equations (PDEs), which involves the effects of both nonlinear propagation and ...Burgers’ equation is a ...

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Nonlinear damped partial differential equations and their uniform discretizations

Nonlinear damped partial differential equations and their uniform discretizations

... of nonlinear feedbacks were only concerning feedback functions having a polynomial growth in a neighborhood of 0 (see ...ordinary differential equation S ′ (t) + q(S(t)) = 0 where q(x) = x − (I + p) ...

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Stability of a critical nonlinear neutral delay differential equation

Stability of a critical nonlinear neutral delay differential equation

... (3b) Equation (1) is typically issued from hyperbolic partial differential equations with nonlinear boundary conditions [11, ...two nonlinear cracks [14]: y is then the dilatation of ...

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Probabilistic representation of a class of non conservative nonlinear Partial Differential Equations

Probabilistic representation of a class of non conservative nonlinear Partial Differential Equations

... of nonlinear Partial Differential Equations (PDEs) are interesting in several ...the equation (existence and/or uniqueness of a solution, ...Hamilton-Jacobi-Bellman equation that have ...

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Nonlinear regularizing effect for hyperbolic partial differential equations

Nonlinear regularizing effect for hyperbolic partial differential equations

... 1. Motivation Hyperbolic PDEs such as the wave equation are known to propagate singularities, unlike parabolic (or elliptic) PDEs, whose solutions are more regular than the corresponding data. Besides, in the ...

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Option valuation and hedging using asymmetric risk function: asymptotic optimality through fully nonlinear Partial Differential Equations

Option valuation and hedging using asymmetric risk function: asymptotic optimality through fully nonlinear Partial Differential Equations

... First, we suppose the hedging instruments are modeled by a Stochastic Differential Equation (SDE) with drift µ and diffusion σ. We also consider contingent claims of the form H T = h(X T ). Second, we ...

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Fully nonlinear stochastic partial differential equations: non-smooth equations and applications

Fully nonlinear stochastic partial differential equations: non-smooth equations and applications

... operator and H ( p ) = jpj and for convex initial sets were studied using di erent methods by Yip [Y]. (iii) Asymptotic problems in phase transitions We present here an example of an asymptotic problem arising in phase ...

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Partial Differential Equation and Noise

Partial Differential Equation and Noise

... certain nonlinear dispersive equations present a remarkable behavior: they can be decomposed in a radiative component and a soliton ...the nonlinear and dispersive effects, which generates one or more ...

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Probabilistic representation of a class of non conservative nonlinear Partial Differential Equations

Probabilistic representation of a class of non conservative nonlinear Partial Differential Equations

... When Λ = 0, PDEs of the type (1.1) are non-linear generalizations of the Fokker-Planck equation. In that case, solutions v of (1.1) are in general conservative in the sense that R R v(t, x)dx is constant in t, so ...

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Internal observability for coupled systems of linear partial differential equations

Internal observability for coupled systems of linear partial differential equations

... Schrödinger equation without using transmutation techniques, in the case of a cascade system of two equations with one control force, using Carleman ...some nonlinear variants, thanks to the fictitious ...

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PI controllers for 1-D nonlinear transport equation

PI controllers for 1-D nonlinear transport equation

... 1-D nonlinear hyperbolic partial-differential equations with closed-loop in- tegral controllers, when the linear frequency analysis cannot be used ...general nonlinear transport ...

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On the nonlinear Dirac equation on noncompact metric graphs

On the nonlinear Dirac equation on noncompact metric graphs

... [28] Dovetta S., Tentarelli L., L 2 -critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features, Calc. Var. Partial Differential Equations 58 (2019), no. 3, art. ...

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MULTIPOINT PROBLEM WITH EQUIDISTANT NODES FOR PARTIAL DIFFERENTIAL EQUATIONS

MULTIPOINT PROBLEM WITH EQUIDISTANT NODES FOR PARTIAL DIFFERENTIAL EQUATIONS

... MULTIPOINT PROBLEM WITH EQUIDISTANT NODES FOR PARTIAL DIFFERENTIAL EQUATIONS IRYNA KLYUS AND INNA KUDZINOVS’KA Abstract. Correctness of the problem with multipoint conditions in time variable and frequency ...

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Development of geostatistical models using Stochastic Partial Differential Equations

Development of geostatistical models using Stochastic Partial Differential Equations

... In the last decade a new geostatistical modelling paradigm based on these considerations (either explic- itly or implicitly) has been developed. It is called the SPDE Approach. It has arisen from the needs of the ...

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Development of geostatistical models using stochastic partial differential equations

Development of geostatistical models using stochastic partial differential equations

... Stochastic Partial Differential Equa- tion (SPDE) approach in ...diffusion equation, the Heat equation, some Langevin equations and the Wave ...evolution equation with initial ...

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Nonlinear Schrodinger equation with time dependent potential

Nonlinear Schrodinger equation with time dependent potential

... 29. P. Rapha¨ el, On the blow up phenomenon for the L 2 critical non linear Schr¨ odinger equation, Lectures on nonlinear dispersive equations, GAKUTO Internat. Ser. Math. Sci. Appl., vol. 27, Gakk¯ otosho, ...

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Residual equilibrium schemes for time dependent partial differential equations

Residual equilibrium schemes for time dependent partial differential equations

... DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS LORENZO PARESCHI ∗ AND THOMAS REY † ...involve partial differential equations which admits nontrivial steady state ...dependent partial ...

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A delay differential equation solver for MONOLIX & MLXPLORE

A delay differential equation solver for MONOLIX & MLXPLORE

... ordinary differential equations (ODEs) some- times involves a large number of variables and parameters, which makes the analysis of these models ...delay differential equations (DDEs) helps to describe the ...

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