Results 71 to 80 of about 149,012 (219)
Global Optimal Regularity for the Parabolic Polyharmonic Equations
Boundary Value Problems, 2010 We show the global regularity estimates for the following parabolic polyharmonic equation in under proper conditions. Moreover, it will be verified that these conditions are necessary for the simplest heat equation in .
Yao Fengping
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Boundary Value Problems, 2017 Consider the anisotropic parabolic equation with the variable exponent u t = ∑ i = 1 N ( a i ( x ) | u x i | p i ( x ) − 2 u x i ) x i , $$ {u_{t}}=\sum_{i=1}^{N} \bigl(a_{i}(x)|u_{x_{i}}|^{p_{i}(x)-2}u_{x_{i}} \bigr)_{x _{i}}, $$ with a i ( x ) $a_{i}(x)
Huashui Zhan
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Numerical methods for sixth-order boundary-value problems
, 1990 A family of numerical methods is developed for the solution of special nonlinear sixth-order boundary-value problems. Methods with second-, fourth-, sixth- and eighth-order convergence are contained in the family.
Twizell, E H, Boutayeb, A
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Numerical methods for boundary value problems on random domains [PDF]
, 2014 In this thesis, we consider the numerical solution of elliptic boundary value problems on random domains. The underlying domain is modelled via a random vector field which is given by its mean and its covariance.
Peters, Michael
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Boundary Value Problems, 2007 We consider the existence of minimal and maximal solutions of periodic boundary value problems for first-order impulsive integrodifferential equations of mixed-type on time scales by establishing a comparison result and using the monotone iterative ...
Li Yongkun, Zhang Hongtao
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, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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A general decay result for a semilinear heat equation with past and finite history memories
Boundary Value Problems, 2019 In this paper, we consider the initial-boundary value problem of the following semilinear heat equation with past and finite history memories: ut−Δu+∫0tg1(t−s)div(a1(x)∇u(s))ds+∫0+∞g2(s)div(a2(x)∇u(t−s))ds+f(u)=0,(x,t)∈Ω×[0,+∞), $$\begin{aligned} &u_{t}-\
Rui Yang, Zhong Bo Fang
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Spreadsheet Implementations for Solving Boundary-Value Problems in Electromagnetics [PDF]
, 2010 Electromagnetics is arguably one of the most challenging courses in any electrical engineering curriculum. A solid foundation in vector calculus and a good intuition based on physical grounds are the normal requirements for a student to successfully ...
Sastry P Kuruganty, Mark A Lau
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Existence of stable standing waves for the Schrödinger–Choquard equation
Boundary Value Problems, 2018 In this paper, by variational methods and the profile decomposition of bounded sequences in H1 $H^{1}$ we study the existence of stable standing waves for the Schrödinger–Choquard equation with an L2 $L^{2}$-critical nonlinearity. Our results extend some
Kun Liu, Cunqin Shi
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On Boundary Value Problems for the Hyperbolic Case
Journal of Complexity, 1994 The situation for the solvability and the uniqueness of the Dirichlet problem for the wave equation depends on the form of the domain and the boundary values. This dependence is not of a natural kind dealing with smoothness properties of functions describing the boundary and the data.
openaire +1 more source