## Linear Operators: Spectral theory |

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Page 1629

CHAPTER XIV Linear

The Cauchy Problem , Local Dependence m In this chapter , we shall discuss a

variety of theorems having to do with linear

CHAPTER XIV Linear

**Partial**Differential Equations and Operators 1. IntroductionThe Cauchy Problem , Local Dependence m In this chapter , we shall discuss a

variety of theorems having to do with linear

**partial**differential operators .Page 1703

The Elliptic Boundary Value Problem Can the boundary value theory and the

spectral theory of Chapter XIII be generalized to

the present section it will be seen that it can , at least for the class of elliptic

...

The Elliptic Boundary Value Problem Can the boundary value theory and the

spectral theory of Chapter XIII be generalized to

**partial**differential operators ? Inthe present section it will be seen that it can , at least for the class of elliptic

**partial**...

Page 1705

It follows from Lemma 3.47 that fosz is a solution of the

equation ( 1 ) telfoszł ) = { ay ( Ex ) ɛP - Iul 20 ( 1 osal ) = f ' ( go Sz ? ) , JI SP in

the domain ε - 11 . Let ε be so small that the domain € -11 contains the interior of

the unit ...

It follows from Lemma 3.47 that fosz is a solution of the

**partial**differentialequation ( 1 ) telfoszł ) = { ay ( Ex ) ɛP - Iul 20 ( 1 osal ) = f ' ( go Sz ? ) , JI SP in

the domain ε - 11 . Let ε be so small that the domain € -11 contains the interior of

the unit ...

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