Dynamic programming principle for backward doubly stochastic recursive optimal control problem and sobolev weak solution of the stochastic Hamilton-Jacobi-Bellman equation. [PDF]
Fundam Res, 2023 Li Y, Matoussi A, Wei L, Wu Z.
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Time—periodic weak solutions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 In continuing from previous papers, where we studied the existence and uniqueness of the global solution and its asymptotic behavior as time t goes to infinity, we now search for a time-periodic weak solution u(t) for the equation whose weak formulation ...
Eliana Henriques de Brito
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Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange [PDF]
Communications in Partial Differential Equations, 2021 In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a heat-conducting fluid. The shell is governed by linear thermoelasticity equations and encompasses a time-dependent domain which is filled with a fluid governed by
V'aclav M'acha +4 more
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European Journal of Mathematical Analysis, 2022 In the present paper, we investigate the stability results of positive weak solution for the generalized Fisher–Kolmogoroff nonlinear stationary-state problem involving weighted p-Laplacian operator −d∆P,pu = ka(x)u[ν − υu] in Ω, Bu = 0 on ∂Ω, where ∆P,p
Salah A. Khafagy, Hassan M. Serag
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A weak solution theory for stochastic Volterra equations of convolution type [PDF]
The Annals of Applied Probability, 2019 We obtain general weak existence and stability results for stochastic convolution equations with jumps under mild regularity assumptions, allowing for non-Lipschitz coefficients and singular kernels.
Eduardo Abi Jaber +3 more
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Numerical solution of inverse problems by weak adversarial networks [PDF]
Inverse Problems, 2020 In this paper, a weak adversarial network approach is developed to numerically solve a class of inverse problems, including electrical impedance tomography and dynamic electrical impedance tomography problems.
Gang Bao +3 more
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On the dissipative solutions for the inviscid Boussinesq equations
AIMS Mathematics, 2020 In this paper, we study the dissipative solutions for the inviscid Boussinesq equations. It is shown that there is at least one dissipative solution for the inviscid incompressible Boussinesq equations.
Feng Cheng
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Constant Scalar Curvature Equation and Regularity of Its Weak Solution [PDF]
Communications on Pure and Applied Mathematics, 2017 In this paper we study the constant scalar curvature equation (CSCK), a nonlinear fourth‐order elliptic equation, and its weak solutions on Kähler manifolds. We first define the notion of a weak solution of CSCK for an L∞ Kähler metric.
Weiyong He, Yu Zeng
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Stochastic differential equations with singular coefficients on the straight line
Advances in Difference Equations, 2020 Consider the following stochastic differential equation (SDE): X t = x + ∫ 0 t b ( s , X s ) d s + ∫ 0 t σ ( s , X s ) d B s , 0 ≤ t ≤ T , x ∈ R , $$ X_{t}=x+ \int _{0}^{t}b(s,X_{s})\,ds+ \int _{0}^{t}\sigma (s,X_{s}) \,dB_{s}, \quad 0\leq t\leq T, x\in \
Rongrong Tian, Liang Ding, Jinlong Wei
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A unique weak solution for a kind of coupled system of fractional Schrödinger equations
Opuscula Mathematica, 2020 In this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrödinger equations by using the Minty-Browder theorem in the Cartesian space.
F. Abdolrazaghi, A. Razani
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