More General Parabolic Equations
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In this chapter we shall briefly discuss the generalization of our previous error analysis to initialboundary value problems for more general parabolic equations, in which we allow the elliptic operator to have coeffiicients depending on both x and t, to contain lower order terms, and to be nonselfadjoint and nonpositive. In order not to have to account for possible exponential growth of stability constants and error bounds we restrict our considerations to a finite interval in time.
KeywordsDirichlet Problem Parabolic Problem Continuous Piecewise Linear Function Standard Galerkin Method Conormal Derivative
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