Results 101 to 110 of about 11,370,086 (322)
Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems
Advances in Nonlinear Analysis, 2017 We study the Cauchy problem associated to a family of nonautonomous semilinear equations in the space of bounded and continuous functions over ℝd{\mathbb{R}^{d}} and in Lp{L^{p}}-spaces with respect to tight evolution systems of measures.
Addona Davide +2 more
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The Sobolev-type equations of the second order with the relatively dissipative operator pencils
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Of concern is the Cauchy problem for the Sobolev-type equation of the second order. We introduce the definition of relatively dissipative operator pencils, generalize the notion of dissipativity and relative dissipativity of operators.
O. Tsyplenkova, A. A. Zamyshlyaeva
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The Cauchy integral and the Dirichlet problem in the plane [PDF]
, 1922 Miloš Kössler
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Mathematics, 2019 In this paper, the Cauchy problem of the modified Helmholtz equation (CPMHE) with perturbed wave number is considered. In the sense of Hadamard, this problem is severely ill-posed. The Fourier truncation regularization method is used to solve this Cauchy
Fan Yang, Ping Fan, Xiao-Xiao Li
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The Cauchy Problem for Laplace's Equation in Three Dimensions [PDF]
, 1935 L. H. Johnson
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Coherence of Coupling Conditions for the Isothermal Euler System
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider an isothermal flow through two pipes. At the junction, the flow is possibly modified by some devices, such as valves, compressors, and so on, or by the geometry of the junction; coupling conditions between the traces of the flow must be given.
Andrea Corli +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider evolution (nonstationary) space‐periodic solutions to the n$$ n $$‐dimensional nonlinear Navier–Stokes equations of anisotropic fluids with the viscosity coefficient tensor variable in space and time and satisfying the relaxed ellipticity condition.
Sergey E. Mikhailov
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we present a stable numerical scheme for solving two‐dimensional m$$ m $$‐component reaction–diffusion systems. The proposed approach utilizes the backward Euler method for temporal discretization and the hybridized discontinuous Galerkin (HDG) method for spatial discretization.
Shima Baharlouei +2 more
wiley +1 more source
On continuous solutions of the Cauchy problem for equations of fractional order
Журнал Белорусского государственного университета: Математика, информатика, 2019 It is studied the nonlocal conditions of solving Cauchy-type problem for fractional differential equations with Riemann – Liouville derivatives in some special function space.
Petr P. Zabreiko, Svetlana V. Ponomareva
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