Implicit Evolution Equations
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چکیده
where the constant a is non-zero. However, (1.1) can be reduced to the standard evolution equation (3.4) in an appropriate space because the operator I − a∂2 x which acts on ∂tu(x, t) can be inverted. Thus, (1.1) is an example of a regular equation; we study such problems in Section 2. Section 3 is concerned with those regular equations of a special form suggested by (1.1). Another example which motivates some of our discussion is the partial differential equation
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