New Approximations of the Total Variation and Filters in Image Processing
New Approximations of the Total Variation and Filters in Image Processing
ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
We describe and analyze an approach to the pure traction problem of three-dimensional linearized elasticity, whose novelty consists in considering the linearized strain tensor as the "primary" unknown, instead of the displacement itself as is customary. This approach leads to a well-posed minimization problem, constrained by a weak form of the St Venant compatibility conditions. Interestingly, it also provides a new proof of Korn's inequality.
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LIST OF ILLUSTRATIONS ix ACKNOWLEDGMENTS xi INTRODUCTION: Goethe Coins a Phrase 1 PART ONE: CIRCULATION Chapter 1: Gilgamesh's Quest 39 Chapter 2: The Pope's Blowgun 78 Chapter 3: From the Old World to the Whole World 110 PART TWO: TRANSLATION Chapter 4: Love in the Necropolis 147 Chapter 5: The Afterlife of Mechthild von Magdeburg 170 Chapter 6: Kafka Comes Home 187 PART THREE: PRODUCTION Chapter 7: English in the World 209 Chapter 8: Rigoberta Menchu in Print 231 Chapter 9: The Poisoned Book 260 CONCLUSION: World Enough and Time 281 BIBLIOGRAPHY 305 INDEX 319