We prove existence of a weak solution for a highly coupled reaction-infiltration problem. Subsequently we prove that such a solution is classical using a generalization of the B_2-class (the equivalent of De Giorgi class for parabolic equations)
A reaction infiltration problem: classical solutions / J.CHADAM; X.CHEN; R.GIANNI; R.RICCI. - In: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. - ISSN 0013-0915. - STAMPA. - 40:(1997), pp. 275-291. [10.1017/s0013091500023725]
A reaction infiltration problem: classical solutions.
R. GIANNI;RICCI, RICCARDO
1997
Abstract
We prove existence of a weak solution for a highly coupled reaction-infiltration problem. Subsequently we prove that such a solution is classical using a generalization of the B_2-class (the equivalent of De Giorgi class for parabolic equations)
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