Give a direct proof that if U is bounded and u C(UT) n C(T) solves...
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Give a direct proof that if U is bounded and u € C(UT) n C(ŪT) solves the heat equation, then max u = max u. ŪT Гт (Hint: Define ue=u-et for e > 0, and show u cannot attain its maximum over ŪT at a point in UT.) Give a direct proof that if U is bounded and u € C(UT) n C(ŪT) solves the heat equation, then max u = max u. ŪT Гт (Hint: Define ue=u-et for e > 0, and show u cannot attain its maximum over ŪT at a point in UT.)
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