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Solutions to certain classes of linearized reaction-diffusion equations. (English) Zbl 0343.35072


MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
35J10 Schrödinger operator, Schrödinger equation
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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References:

[1] Aris, R., The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts, Vols. 1 & 2 (1975), Oxford University Press: Oxford University Press London, (for ref. pp. 120-126 in Vol. 2)
[2] Othmer, H. G.; Scriven, L. E., Interactions of reaction and diffusion in open systems, Ind. Engng. Chem. Fundam., Vol. 8, 302-313 (1969)
[3] Rosen, G., Global theorems for species distributions governed by reaction-diffusion equations, J. Chem. Phys., Vol. 61, 3676-3679 (1974)
[4] Bellman, R., (Methods of Nonlinear Analysis (1970), Academic Press: Academic Press New York), 104-116
[5] Drazin, M. P., On diagonable and normal matrices, Qt. J. Math., Vol. 2, 189-198 (1951) · Zbl 0043.01401
[6] (James, G.; James, R. C., Mathematical Dictionary (1959), Van Nostrand: Van Nostrand New Jersey), 289-290
[7] Rosen, G., (Formulations of Classical and Quantum Dynamical Theory (1969), Academic Press: Academic Press New York), 79-80
[8] Wilcox, R. M., Exponential operators and parameter differentiation in quantum physics, J. Math. Phys., Vol. 8, 962-982 (1967) · Zbl 0173.29604
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