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The list consists of many series defined by simple equations, and of several exceptional superalgebras, among themE(3, 6).
      
We study boundary value problems for the time-harmonic form of the Maxwell equations, as well as for other related systems of equations, on arbitrary Lipschitz domains in the three-dimensional Euclidean space.
      
We study boundary value problems for the time-harmonic form of the Maxwell equations, as well as for other related systems of equations, on arbitrary Lipschitz domains in the three-dimensional Euclidean space.
      
We study the existence and regularity of compactly supported solutions φ = (φv)v=0/r-1 of vector refinement equations.
      
They are of particular importance in solving differential and integral equations.
      
We show how to reconstruct functions satisfying the scaling equations above and show that ?2, …, ?q always constitute a tight frame with constant 1.
      
In some cases, including analysis on Euclidean space, sphers, hyperbolic space, and certain other symmetric spaces, exact formulas for fundamental solutions to wave equations are available.
      
Behavior near the boundary of positive solutions of second order parabolic equations
      
Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for carnot-carathéodory metrics
      
Solutions to deconvolution equations using nonperiodic sampling
      
Equations with two time scales (refinement equations or dilation equations) are central to wavelet theory.
      
Fractal differential equations on the Sierpinski gasket
      
We study the analogs of some of the classical partial differential equations with Δ playing the role of the usual Laplacian.
      
Spectral radius properties for layer potentials associated with the elastostatics and hydrostatics equations in nonsmooth domain
      
The "classical" wavelets, those ψ εL2(R) such that {2j/2ψ(2jx-k)}, j,kεZ, is an orthonormal basis for L2 (R), are known to be characterized by two simple equations satisfied by.
      
Refinement equations with nonnegative coefficients
      
This criterion implies several results concerning the problem of integrable solutions of n-scale refinement equations and the problem of absolutely continuity of distribution function of one random series.
      
Further we obtain a complete classification of refinement equations with positive coefficients (in the case of finitely many terms) with respect to the existence of continuous or integrable compactly supported solutions.
      
Some applications are given to control theory for partial differential equations.
      
In this paper, we establish maximal Lp-Lq estimates for non-autonomous parabolic equations of the type u'(t)+A(t)u(t)=f(t), u(0)=0 under suitable conditions on the kernels of the semigroups generated by the operators -A(t), t∈[0,T].
      
 

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