Uniqueness and representation theorems for the inhomogeneous heat equation
نویسندگان
چکیده
منابع مشابه
Backward uniqueness for the heat equation
According to Gurarii and Matsaev [5], these properties are equivalent, but no proof was ever published. Here is a summary of known results. When n = 1, both properties hold if and only if D is a bounded interval. For PII this is evident, for PI this follows from the results of Tychonov [7]. When n = 2, and D is an angular sector {z : | arg z| < α}, the property PII holds if and only if α < 45◦....
متن کاملBackward uniqueness for the heat equation
According to Gurarii and Matsaev [5], these properties are equivalent, but no proof was ever published. Here is a summary of known results. When n = 1, both properties hold if and only if D is a bounded interval. For PII this is evident, for PI this follows from the results of Tychonov [7]. When n = 2, and D is an angular sector {z : | arg z| < α}, the property PII holds if and only if α < 45◦....
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1979
ISSN: 0022-247X
DOI: 10.1016/0022-247x(79)90040-4