Singular solutions of nonlinear elliptic and parabolic equations Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov /
Singular solutions of nonlinear elliptic and parabolic equations Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov / [online]
- Berlin : De Gruyter, 2016
- 1 resursă online (435 p.)
- De Gruyter Series in Nonlinear Analysis and Applications, 24 .
Frontmatter Foreword
Contents Part I. Nonlinear elliptic equations with L1-data Chapter 1. Nonlinear elliptic equations of the second order with L1-data
Chapter 2. Nonlinear equations of the fourth order with strengthened coercivity and L1-data
Part II. Removability of singularities of the solutions of quasilinear elliptic and parabolic equations of the second order Chapter 3. Removability of singularities of the solutions of quasilinear elliptic equations
Chapter 4. Removability of singularities of the solutions of quasilinear parabolic equations
Chapter 5. Quasilinear elliptic equations with coefficients from the Kato class
Part III. Boundary regimes with peaking for quasilinear parabolic equations Chapter 6. Energy methods for the investigation of localized regimes with peaking for parabolic second-order equations
Chapter 7. Method of functional inequalities in peaking regimes for parabolic equations of higher orders
Chapter 8. Nonlocalized regimes with singular peaking
Chapter 9. Appendix: Formulations and proofs of the auxiliary results
Bibliography
Backmatter
9783110332247
DE-Matematică
Frontmatter Foreword
Contents Part I. Nonlinear elliptic equations with L1-data Chapter 1. Nonlinear elliptic equations of the second order with L1-data
Chapter 2. Nonlinear equations of the fourth order with strengthened coercivity and L1-data
Part II. Removability of singularities of the solutions of quasilinear elliptic and parabolic equations of the second order Chapter 3. Removability of singularities of the solutions of quasilinear elliptic equations
Chapter 4. Removability of singularities of the solutions of quasilinear parabolic equations
Chapter 5. Quasilinear elliptic equations with coefficients from the Kato class
Part III. Boundary regimes with peaking for quasilinear parabolic equations Chapter 6. Energy methods for the investigation of localized regimes with peaking for parabolic second-order equations
Chapter 7. Method of functional inequalities in peaking regimes for parabolic equations of higher orders
Chapter 8. Nonlocalized regimes with singular peaking
Chapter 9. Appendix: Formulations and proofs of the auxiliary results
Bibliography
Backmatter
9783110332247
DE-Matematică