Results 11 to 20 of about 5,148,909 (356)
The Existence Result for a p-Kirchhoff-Type Problem Involving Critical Sobolev Exponent
Journal of Function Spaces, 2023 In this paper, by using the mountain pass theorem and the concentration compactness principle, we prove the existence of a positive solution for a p-Kirchhoff-type problem with critical Sobolev exponent.
Hayat Benchira +3 more
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Graph Neural Controlled Differential Equations for Traffic Forecasting [PDF]
AAAI Conference on Artificial Intelligence, 2021 Traffic forecasting is one of the most popular spatio-temporal tasks in the field of machine learning. A prevalent approach in the field is to combine graph convolutional networks and recurrent neural networks for the spatio-temporal processing.
Jeongwhan Choi +3 more
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Partial Differential Equations in Applied Mathematics, 2022 This paper shows the global existence and boundedness of solutions of a reaction diffusion system modeling liver infections. The existence proof is presented step by step and the focus lies on the interpretation of intermediate results in the context of ...
Cordula Reisch, Dirk Langemann
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An Approximate Solution for a Class of Ill-Posed Nonhomogeneous Cauchy Problems
Journal of Mathematics, 2021 In this paper, we consider a nonhomogeneous differential operator equation of first order u′t+Aut=ft. The coefficient operator A is linear unbounded and self-adjoint in a Hilbert space. We assume that the operator does not have a fixed sign. We associate
Nihed Teniou, Salah Djezzar
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Steady-State Motion of a Load on an Ice Cover with Linearly Variable Thickness in a Channel
Journal of Marine Science and Engineering, 2023 The paper considers the visco-elastic response of the ice cover in a channel under an external load moving with constant speed along the center line. The channel has a rectangular cross-section with a finite depth and width.
Konstantin Shishmarev +2 more
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DIFFERENTIAL GEOMETRY FROM DIFFERENTIAL EQUATIONS [PDF]
The Ninth Marcel Grossmann Meeting, 2001 37 pages, revised version with ...
Frittelli, Simonetta +2 more
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Modelling health impacts of hepatitis – model selection and treatment plans
Mathematical and Computer Modelling of Dynamical Systems, 2022 Hepatitis B and C are viruses causing liver infections and resulting in grave secondary diseases. While there are different treatments for chronic liver infections, the process of evolving chronic diseases is still not fully understood.
Cordula Reisch
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On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms
Mathematics, 2023 We consider a class of strictly pseudohyperbolic equations with lower order terms. The solvability of the Cauchy problem in Sobolev spaces with special weights is established. The uniqueness of the solution is proven and estimates are obtained.
Lina N. Bondar, Gennadii V. Demidenko
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User’s guide to viscosity solutions of second order partial differential equations [PDF]
, 1992 The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be
M. Crandall, H. Ishii, P. Lions
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WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES
Проблемы анализа, 2022 We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal +3 more
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