Results 11 to 20 of about 618,259 (179)
A priori estimates for complex Hessian equations [PDF]
Analysis & PDE, 2014 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 hler manifolds. We also show optimal $L^p$ integrability for m-subharmonic functions with compact singularities, thus partially confirming a conjecture of Blocki. Finally
Dinew, Sławomir, Kołodziej, Sławomir
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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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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 fluid interface problems [PDF]
Communications on Pure and Applied Mathematics, 2008 AbstractWe consider the regularity of an interface between two incompressible and inviscid fluid flows in the presence of surface tension. We obtain local‐in‐time estimates on the interface in H(3/2)k + 1 and the velocity fields in H(3/2)k. These estimates are obtained using geometric considerations which show that the Kelvin‐Helmholtz instabilities ...
Shatah, Jalal, Zeng, Chongchun
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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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A priori and a posteriori $W^{1,\infty}$ error analysis of a QC method for complex lattices [PDF]
, 2012 In this paper we prove a priori and a posteriori error estimates for a multiscale numerical method for computing equilibria of multilattices under an external force. The error estimates are derived in a $W^{1,\infty}$ norm in one space dimension.
Abdulle, Assyr +2 more
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On the fully discrete approximations of the MGT two-temperatures thermoelastic problem
Archives of Mechanics, 2022 We consider a one-dimensional two-temperatures thermoelastic model. The corresponding variational problem leads to a coupled system which is written in terms of the mechanical velocity, the temperature speed and the inductive temperature.
J. Baldonedo +2 more
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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 ...
Begehr, H., Hsiao, G. C.
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