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Existence Theorems for Certain Elliptic and Parabolic Semilinear Equations

✍ Scribed by Guy Bernard

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
270 KB
Volume
210
Category
Article
ISSN
0022-247X

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✦ Synopsis

Existence theorems for the nonlinear parabolic differential equation yѨ urѨ t q < < p Ž .

n w . ⌬uq u qf x, t s 0 in ‫ޒ‬ = 0, ϱ with zero initial value are established given Ž . explicit conditions on the nonhomogeneous term f x, t . An existence theorem is also demonstrated for the corresponding elliptic equation.

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