Show that if the following problem has a solution it is unique ôu +c= f in (0, L)× (0,T), -k !! ôt ôx² (3) u(x,0) = g,(t),u(L,t) = g,(t),0
Show that if the following problem has a solution it is unique ôu +c= f in (0, L)× (0,T), -k !! ôt ôx² (3) u(x,0) = g,(t),u(L,t) = g,(t),0
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![Show that if the following problem has a solution it is unique
ди
- k
du
: = f in (0, L)× (0,T),
u(x,0) = g,(t),u(L,t) = g,(t),0<t<T,
u(x,0) = u,(x),0< x<L,
(3)
with k, f, go, gi and uo as in problem (1) and c a given constant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3b63b44-9302-458a-a5f0-5e786e8527ac%2Fc0f4cd11-0abe-4ebf-89e4-9ec2e82ad889%2F9o9u5ai_processed.png&w=3840&q=75)
Transcribed Image Text:Show that if the following problem has a solution it is unique
ди
- k
du
: = f in (0, L)× (0,T),
u(x,0) = g,(t),u(L,t) = g,(t),0<t<T,
u(x,0) = u,(x),0< x<L,
(3)
with k, f, go, gi and uo as in problem (1) and c a given constant.
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