Regularity of value function and optimal boundary
Boundary regularity result for quasilinear elliptic systems
... shown optimal boundary regularity of ...the boundary and interior estimates is relatively standard, we omit it and get the following results: Theorem ...with boundary of class C 1 ...
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Construction of the Value Function and Optimal Rules in Optimal Stopping of One-dimensional Diffusions
... initial value of the diffusion and thus one is able to construct the value function by solving the family of optimization ...little regularity of the terminal reward ...reward function ...
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Parabolic Regularity and Dirichlet boundary value problems
... We consider solvability of the L p Dirichlet and L p regularity boundary value problems with respect to the measure σ. The measure σ may not be comparable to the usual surface measure on ∂Ω: in the ...
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Application of p-regularity theory to nonlinear boundary value problems
... The paper studies the question of solution existence to a nonlinear equation in the degenerate case. This question is studied for three particular boundary value problems for ordinary and partial ...
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Optimal regularity results in boundary control of elastic systems with fractional order damping
... (i) 2a − 2α + 2 + 2α ≤ 0, (ii) 2a + 2α + 3/2 + 3α ≤ 0, (iii) 2a − 2α + 2 ≤ 0. Therefore admissibility holds if a ≤ −1. For necessity, note that the condition a ≤ − 1 is required by the inequality (i) above. Furthermore ...
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Regularity of the Solution of the First Initial-Boundary Value Problem for Hyperbolic Equations in Domains with Cuspidal Points on Boundary
... Initial boundary-value problems for hyperbolic and parabolic type equations in a cylinder with the base containing conical points have been developed sufficiently by us 1–4, the main results of which are ...
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Boundary value problems for hypergenic function vectors
... the boundary value problems for hypergenic function vectors in Clifford ...nonlinear boundary value problem is ...linear boundary value problem are ...
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Regularity of optimal spectral domains
... Corollary 2.17. Assume D is open and with finite measure. Then there exists an open set Ω ∗ which is solution of (6). Moreover, for any (quasi-open) solution Ω ∗ of (6), u Ω ∗ is locally Lipschitz continuous on D. If D ...
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On Green’s function for boundary value problem with eigenvalue dependent quadratic boundary condition
... real-valued function and q(t) ∈ L [a, b]; a, b, b , b , b , b , c, d, e ∈ R and c = ...both boundary conditions and in the first boundary condition is in quadratic ...
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On the regularity of the solution for the second initial boundary value problem for hyperbolic systems in domains with conical points
... Introduction Boundary value problems in nonsmooth domains have been studied in differential ...elliptic boundary value problems in domains with point singulari- ties have been thoroughly ...
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Lipschitz Regularity of the Eigenfunctions on Optimal Domains
... the optimal sets, in particular their boundedness and finiteness of the ...free boundary problems relies, in general, on outer ...state function, precisely the torsion function, by controlling ...
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Boundary Value Problem and its application in I-Function of Multivariable
... The operational techniques are important tools to compute various problem in various fileds of sciences. Which are used in works of Kumar [3] to find out several results in various problem in different field o sciences ...
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On the regularity of solutions of the boundary value problem without initial condition for Schrödinger systems in domain with conical points
... initial boundary value problems for partial differential equations and sys- tems in nonsmooth domains has attracted the attention of many ...the regularity of solutions of the mentioned ...the ...
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Nonhomogeneous Boundary Value Problem for One-Dimensional Compressible Viscous Micropolar Fluid Model: Regularity of the Solution
... initial-boundary value problem for 1D flow of a compressible viscous heat-conducting micropolar fluid is considered; the fluid is thermodynamically perfect and ...state function is H ¨older ...
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Optimal intervals for uniqueness of solutions for lipschitz nonlocal boundary value problems
... focal boundary value problems ...nonlocal boundary value problems ...of boundary value problems, with classical papers including Jackson [31, 32], Eloe and Henderson [8], ...
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The solution of multipoint boundary value problems by the Optimal Homotopy Asymptotic Method
... Multipoint boundary value problems Optimal Homotopy Asymptotic Method a b s t r a c t In this work, we solve multipoint boundary value problems using the Optimal Homotopy ...
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Global Optimal Regularity for the Parabolic Polyharmonic Equations
... Indeed if m 1, then 1.1 is simplified to be the simplest heat equation. L p estimates and Schauder estimates for linear second-order equations are well known see 8, 9 . When m / 1, the corresponding regularity ...
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Boundary regularity problems for some elliptic-parabolic equations
... distance function satisfying doubling conditions and segment ...the regularity criteria found in [95] which refer to the behavior of Wiener-series of type ...
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Monotonicity of the value function for a two dimensional optimal stopping problem
... the value function v(x, y) with respect to y ∈ S = (0, ∞ ) for two important volatility models, the Heston [5] and the Hull and White [7] ...the value function in the volatility parameter y is ...
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Green’s function homotopy perturbation method for the initial boundary value problems
... Abstract This article deals with the novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function homotopy perturbation method, ...
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