Problem 3 Let 2 be a C bounded domain of RN On H 22 we define the bilinear form N a u v a 92 ijel where a L n satisfying for

Question

Problem 3 Let 2 be a C bounded domain of RN On H 22 we define the bilinear form N a u v a 92 ijel where a L n satisfying for some 0 N a r du v dij cuv x x 201 a ez and VE ER igel Prove that there exists 0 such that the bilinear form a satisfies the hypothesis of the Lax Milgram Theorem provided c r 2 ren

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