Results 31 to 40 of about 346,570 (361)
Singular SPDEs in domains with boundaries [PDF]
, 2018 We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions.
Gerencsér, M, Hairer, M
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NEUMANN BOUNDARY CONDITION FOR A NONLOCAL BIHARMONIC EQUATION
Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2022 The solvability conditions for a class of boundary value problems for a nonlocal biharmonic equation in the unit ball with the Neumann conditions on the boundary are studied. The nonlocality of the equation is generated by some orthogonal matrix. The presence and uniqueness of a solution to the proposed Neumann boundary condition is examined, and an ...
B.Kh. Turmetov, V.V. Karachik
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Positive Solutions of the Semipositone Neumann Boundary Value Problem
Mathematical Modelling and Analysis, 2015 In this paper we consider the Neumann boundary value problem at resonance −u''(t) = f t, u(t) , 0 < t < 1, u' (0) = u' (1) = 0. We assume that the nonlinear term satisfies the inequality f(t, z) + α2z + β(t) ≥ 0, t ∈ [0, 1], z ≥ 0, where β : [0, 1]
Johnny Henderson, Nickolai Kosmatov
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An infection age-space structured SIR epidemic model with Neumann boundary condition
Applicable Analysis, 2018 In this paper, we are concerned with an SIR epidemic model with infection age and spatial diffusion in the case of Neumann boundary condition. The original model is constructed as a nonlinear age structured system of reaction–diffusion equations.
Abdennasser Chekroun, T. Kuniya
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Archives of Control Sciences, 2016 Various optimization problems for linear parabolic systems with multiple constant time delays are considered. In this paper, we consider an optimal distributed control problem for a linear parabolic system in which multiple constant time delays appear in
Kowalewski Adam
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Quasilinear equations involving nonlinear Neumann boundary conditions
Differential and Integral Equations, 2012 26
Iturriaga, Leonelo +3 more
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Pointwise observation of the state given by complex time lag parabolic system
Archives of Control Sciences, 2017 Various optimization problems for linear parabolic systems with multiple constant time lags are considered. In this paper, we consider an optimal distributed control problem for a linear complex parabolic system in which different multiple constant time ...
Kowalewski Adam
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A game interpretation of the Neumann problem for fully nonlinear parabolic and elliptic equations
, 2012 We provide a deterministic-control-based interpretation for a broad class of fully nonlinear parabolic and elliptic PDEs with continuous Neumann boundary conditions in a smooth domain.
Daniel, Jean-Paul
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Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods [PDF]
Numerische Mathematik, 2016 It is well known that the Fourier series Dirichlet-to-Neumann (DtN) boundary condition can be used to solve the Helmholtz equation in unbounded domains.
Liwei Xu, Tao Yin
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TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
Acta Polytechnica, 2016 Boundary value problems are considered on a simplex F in the real Euclidean space R2. The recent discovery of new families of special functions, orthogonal on F, makes it possible to consider not only the Dirichlet or Neumann boundary value problems on F,
Marzena Szajewska +1 more
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