Results 1 to 10 of about 617,396 (323)
A priori estimates for the complex Hessian equations [PDF]
Analysis & PDE, 2011 We prove some $L^{\infty}$ a priori estimates as well as existence and stability theorems for the weak solutions of the complex Hessian equations in domains of $C^n$ and on compact K\"ahler manifolds.
Błocki, Gårding, Kołodziej
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A Priori Estimates or Elliptic Systems
Zeitschrift für Analysis und ihre Anwendungen, 1987 A priori estimates for the general complex Beltrami equation in connection with Riemann–Hilbert boundary conditions are developed, which can be used for existence as well as uniqueness statements for related nonlinear problems. For this reason the equation together with the boundary conditions are transformed into the canonical form and essentially a ...
Heinrich Begehr, George C. Hsiao
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New anisotropic a priori error estimates
Numerische Mathematik, 2001 We prove a priori anisotropic estimates for the $L^2$ and $H^1$ interpolation error on linear finite elements. The full information about the mapping from a reference element is employed to separate the contribution to the elemental error coming from different directions. This new
Luca Formaggia, Simona Perotto
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A priori estimates of solutions to nonlinear fractional Laplacian equation
Electronic Research Archive, 2023 In this paper, we focus on the research of a priori estimates of several types of semi-linear fractional Laplacian equations with a critical Sobolev exponent.
Tao Zhang , Tingzhi Cheng
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Existence results and a priori estimates for solutions of quasilinear problems with gradient terms [PDF]
Opuscula Mathematica, 2019 In this paper we establish a priori estimates and then an existence theorem of positive solutions for a Dirichlet problem on a bounded smooth domain in \(\mathbb{R}^N\) with a nonlinearity involving gradient terms.
Roberta Filippucci, Chiara Lini
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Trends in Computational and Applied Mathematics, 2022 In this work we obtain a variational formulation and {\it a priori} estimates for approximate solutions of a problem involving fractional diffusion equations.
M. E. de S. Lima +2 more
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On a boundary value problem for a Boussinesq-type equation in a triangle
Вестник КазНУ. Серия математика, механика, информатика, 2022 Earlier, we considered an initial-boundary value problem for a one-dimensional Boussinesq-type equation in a domain that is a trapezoid, in which the theorems on its unique weak solvability in Sobolev classes were established by the methods of the theory
M. T. Jenaliyev +2 more
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Compliance estimates for two-dimensionalproblems with Dirichlet region of prescribed length
Networks and Heterogeneous Media, 2012 In this paper we prove some lower bounds for the compliancefunctional, in terms of the $1$-dimensional Hausdorff measureof the Dirichlet region and the number of its connectedcomponents.
Paolo Tilli
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A priori estimates of global solutions of superlinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider the parabolic system $ u_{t}-\Delta u = u^{r}v^{p}$, $v_{t}-\Delta v = u^{q}v^{s}$ in $\Omega\times(0,\infty)$, complemented by the homogeneous Dirichlet boundary conditions and the initial conditions $(u,v)(\cdot,0) = (u_{0},v_{0})$ in ...
Július Pačuta
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A priori estimates for Donaldson's equation over compact Hermitian manifolds [PDF]
, 2013 In this paper we prove a priori estimates for Donaldson's equation $\omega\wedge(\chi+\sqrt{-1}\partial\bar{\partial}\varphi)^{n-1}=e^{F}(\chi+\sqrt{-1}\partial\bar{\partial}\varphi)^{n}$ over a compact Hermitian manifold X of complex dimension n, where $
Li, Yi
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