1,721,145 research outputs found

    Global existence and uniqueness of regular solutions to the dynamic von Kármán system with nonlinear boundary dissipation

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    Favini, Angelo; Horn, Mary Ann; Lasiecka, Irena. (1993). Global existence and uniqueness of regular solutions to the dynamic von Kármán system with nonlinear boundary dissipation. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2445

    A general approach to identification problems and applications to partial differential equations

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    A general approach to identification problems is indicated.Various applications to partial differential equations are given

    Global existence, uniqueness and regularity of solutions to a Von Kármán system with nonlinear boundary dissipation

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    Favini, Angelo; Horn, Mary Ann; Lasiecka, Irena; Tataru, Daniel. (1993). Global existence, uniqueness and regularity of solutions to a Von Kármán system with nonlinear boundary dissipation. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2475

    A General Approach to Identification Problems and Applications

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    An abstract method for dealing with identification problems related to evolution equations with multivalued operators or linear relations is described. Some possible applications are given

    Abstract parabolic initial boundary value problems with singular data and with values in interpolation spaces

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    We consider abstract initial boundary value problems for parabolic differential-operator equations on the rectangle [0, T] × [0, 1] with singular data. We use our previous results on norm-estimates of solutions and R-boundedness of some sets of boundary value problems for abstract elliptic equations with a parameter on [0, 1] in a UMD Banach space. Unique solvability of these problems is proved in the Sobolev spaces of vector-valued functions with values in some interpolation spaces. The corresponding estimates for the solutions are also established. We also show completeness of elementary solutions of abstract parabolic boundary value problems. Abstract results are provided by a relevant application to parabolic PDEs. In some cases, the boundary conditions may contain the intermediate points of the interval [0, 1] or may be integro-differential

    Novel stochastic differential model for image restoration

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    Novel stochastic dierential model for image restoration. (English summary

    Singular perturbation approach to Legendre type operators

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    Let Q be a bounded domain in RN with compact smooth boundary (N ∈ N). Then this paper is concerned with the nonnegative selfadjointness in L2(Q) of the maximal realization T2 of N-dimensional second-order differential operators in divergence form with diffusion coefficients vanishing on the boundary r - dQ. The operators may be called Legendre type operators over Q. The key to the proof is a singular perturbation argument developed in [9]. In particular, the resolvent of T2 is given as the uniform limit of (ξ + n-1( - Δ) + T2)-1 as n ^ro, for every ξ > 0, where -A is the Neumann-Laplacian inL2(Q). It should be noted that if N - 1 then (ξ + n-1( -A) + Tp)-1 converges strongly to (ξ + Tp)-1 in LP(I), where Tp is the one-dimensional analog constructed by Campiti, Metafune and Pallara [2],

    Discrete and continuous Dynamical Systems Serie S

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    This volume conteins a number of papars on partial differential equations, inverse problems and ill-posed problem
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