Pointwise estimates on the Green's function for a scalar
linear convection-diffusion equation
Pointwise estimates on the Green's function for a scalar
linear convection-diffusion equation
Pointwise estimates are found on Green's functions for the scalar
linear
convection-diffusion equations that arise when a
scalar conservation law with nonconstant
diffusion is linearized about a viscous shock profile of arbitrary
strength.
The estimates take the form of Gaussian kernels centered
around paths determined by the (typically different)
asymptotic states of the convection function.
The analysis extends the spectral transform method to the
non-constant coefficient case.
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