Continuity with respect to the initial condition
Continuity results with respect to domain perturbation for the fractional p-Laplacian
... PERTURBATION FOR THE FRACTIONAL p−LAPLACIAN CARLA BARONCINI, JULI ´ AN FERN ´ ANDEZ BONDER AND JUAN F. SPEDALETTI Abstract. In this paper we give sufficient conditions on the approximat- ing domains in order to obtain ...
9
Continuity in the Hurst parameter of the law of the symmetric integral with respect to the fractional Brownian motion
... with respect to the fractional Brownian motion with Hurst parameter H > 1/2 converges weakly to that of the corresponding integral with respect to B H 0 when H → H 0 , with H 0 ∈ [ ...
29
On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radius of balls in ℝN
... Motivated by Fleming’s paper, Brown and Lin [ 3 ], and Hess and Kato [ 5 ] studied the eigenvalues and eigenfunctions of ( 1.3 ) in the partial differential equation case... In order that[r] ...
5
Fragmentation arising from a distributional initial condition
... Proof This can be deduced by applying analogous arguments to those used to establish [5, Corollary 3.13]. ¥ We construct the distributional extension K e of A + B with the intention of solving (4.4) when u 0 = δ ` (= δ(x ...
20
Quantifying the Impacts of Initial Condition and Model Uncertainty on Hydrological Forecasts
... explicitly solves for LST, whereas the SNOW-17 model only estimates average pack temperature. Forecast reliability was shown to have a strong spatial component in figures 5 and 6. The VIC model produced forecasts with ...
186
Hessian-based model reduction with applications to initial-condition inverse problems
... On the bottom of the figure, the error with respect to the truth initial condition x t 0 is plotted. It can be seen that reduced-order models formed with 47 eigenvectors of H provide estimates which ...
89
Improving the characterization of initial condition for ensemble streamflow prediction using data assimilation
... the initial states by data assimilation would be expected to increase the uncertainty in volumetric ...boundary condition for the flow (baseflow), and no upper boundary condition, the low bias in the ...
12
Improving the Characterization of Initial Condition for Ensemble Streamflow Prediction Using Data Assimilation
... the initial states by data assimilation would be expected to increase the uncertainty in volumetric ...boundary condition for the flow (baseflow), and no upper boundary condition, the low bias in the ...
14
On the stability of the heat equation with an initial condition
... It seems that the first paper dealing with the Hyers-Ulam stability of partial differential equations was written by Prastaro and Rassias [].. The heat equation plays an important role i[r] ...
6
Discontinuous Parabolic Problems with a Nonlocal Initial Condition
... We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial condition. We are concerned with the existence of solutions in the weak sense. Our technique is ...
10
Solution of Fractional Telegraph Equation with Fuzzy Initial Condition
... S. Priyadharsini 1,∗ , P. Gowri 1 and T. Aparna 1 1 Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, Tamil Nadu, India. Abstract: In this work, we analyze the method of finding the solution of ...
8
A SUFFICIENT CONDITION FOR THE ABSOLUTE CONTINUITY OF CONJUGATION BETWEEN CIRCLE HOMEOMORPHISMS WITH BREAKS
... Abstract: Let T 1 and T 2 be circle homeomorphisms with countable many break points, that is, discontinuities in the derivative T 1 and T 2 , with identical irrational rotation number ρ. Assume that the total variations ...
12
The impact of the initial condition on covariate augmented unit root tests
... small initial conditions, the power of such procedures falls towards zero as the initial condition increases in ...large initial conditions will not arise, this limits the reliability of such ...
26
Initial boundary value problem with a nonlocal condition for a viscosity equation
... ABDELFATAH BOUZIANI Received 9 October 1999 This paper deals with the proof of the existence, uniqueness, and continuous dependence of a strong solution upon the data, for an initial-boundary value problem which ...
12
The impact of the initial condition on covariate augmented unit root tests
... small initial conditions, the power of such procedures falls towards zero as the initial condition increases in ...large initial conditions will not arise, this limits the reliability of such ...
25
Solvency and Financial Condition Report in respect of year ended 31 December 2016
... 1 Summary The new EU wide Solvency II regulator regime for Insurance Companies came into force with effect from 1 January 2016. The Solvency II regime requires new reporting and public disclosure arrangements to be put ...
45
With respect to each underlying index, final index value / initial index value
... However, if the final index value of either underlying index is less than its respective trigger level, investors will lose a significant portion or all of their investment, resulting in a loss of 1% for every 1% decline ...
Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition
... Very recently N’Gu´er´ekata 2, 18 discussed the existence of solutions of fractional abstract differential equations with nonlocal initial condition. The nonlocal Cauchy problem is discussed by authors in 15 ...
12
On the uncertainty of initial condition and initialization approaches in variably saturated flow modeling
... the initial condition is constructed by warming up the model with the prior parameter; thus IC- WUP contains useful information of prior parameter, even it is ...the initial state ensembles of ...
18
Controllability of Linear Time-invariant Dynamical Systems with Fuzzy Initial Condition
... Fuzzy Initial Condition Bhaskar Dubey, Raju ...fuzzy initial condition x(t 0 ) in (E 1 ) n and control u(t) ∈ (E 1 ) m , where A, B, are n × n, n × m real matrices, respectively, t 0 ≥ 0, and ...
6