DSpace Angular :: Browsing by Author "CORTAZAR, C"

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A MONOTONICITY RESULT RELATED TO A PARABOLIC INVERSE PROBLEM

(1990) CORTAZAR, C; ELGUETA, M

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EXISTENCE OF GENERALIZED SOLUTIONS OF A NONLINEAR DIFFUSION CAUCHY-PROBLEM

(SIAM PUBLICATIONS, 1987) CORTAZAR, C; ELGUETA, M

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HOW LONG DOES IT TAKE FOR A GAS TO FILL A POROUS CONTAINER

(AMER MATHEMATICAL SOC, 1994) CORTAZAR, C; ELGUETA, M

Let us consider the problem u(t)(x, t) = Delta u(m)(x, t) for (x,t) epsilon D x [0, +infinity), u(x, 0)= u(0)(x) for x epsilon D, and (partial derivative u(m)/partial derivative n)(x, t) = h(x, t) for (x, t) epsilon partial derivative D x [0, +infinity). Here we assume D subset of R(N), m > 1, u(0) greater than or equal to 0,and h greater than or equal to 0. It is well known that solutions to this problem have the property of finite speed propagation of the perturbations. By this we mean that if z is an interior point of D and exterior to the support of u(0), then there exists a time T(z) > 0 so that u(z, t) = 0 for t < T(z) and u(z, t) > 0 for t > T(z).