... 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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... 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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... 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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... 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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... (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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... 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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... 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 ...

8

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

12

... 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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... 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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... 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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... 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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... [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 IRYNA KLYUS AND INNA KUDZINOVS’KA Abstract. Correctness of the problem with multipoint conditions in time variable and frequency ...

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... 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 ...

315

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

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... 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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