# Non linear parabolic partial differential equations

### A Probabilistic Numerical Method for Fully Non-linear Parabolic Partial Differential Equations

**non**, émanant des établissements d’enseignement et de recherche français ...

114

### Bounding of linear output functionals of parabolic partial differential equations

47

### Accelerated finite elements schemes for parabolic stochastic partial differential equations

**parabolic**PDEs of the form of equation ...of

**equations**arise in various fields of sciences and engineering, for example in nonlinear filtering of partially observed diffusion ...these ...

38

### In-Domain Control of Partial Differential Equations

**parabolic**

**equations**, which cannot be dealt with using existing tools for obtaining their exact ...to

**linear**and nonlinear PDEs, it is leveraged in the present work for this ...

135

### An averaging theory for nonlinear partial differential equations

**partial**

**differential**

**equations**. There are mainly two kinds of applications : the recurrent properties given by the Poincaré ...

107

### Quadratic expansions and partial regularity for fully nonlinear uniformly parabolic equations

**PARABOLIC**

**EQUATIONS**JEAN-PAUL DANIEL Abstract. For a

**parabolic**equation associated to a uniformly elliptic opera- tor, we obtain a W 3,ε estimate, which provides a lower bound on the ...

35

### A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations

### On the meromorphic solutions of linear differential equations

**Linear**

**differential**

**equations**, meromorphic solutions, order of growth. ...

6

### Differential polynomials generated by second order linear differential equations

13

### Development of geostatistical models using stochastic partial differential equations

**non**-séparables ayant des conditions d’asymétrie et de régularités spatiale et tem- porelle séparées ...simulation

**non**-conditionnelle pour des modèles stationnaires dans le cadre de l’approche ...

315

### Nonlinear regularizing effect for hyperbolic partial differential equations

**PARTIAL**

**DIFFERENTIAL**

**EQUATIONS**FRANC ¸ OIS GOLSE Abstract. The Tartar-DiPerna compensated compactness me- thod, used initially to construct global weak solutions of hyperbolic systems ...

8

### Similarity solutions of partial differential equations in probability

15

### Stochastic partial differential equations with singular terminal condition

**equations**appear naturally in various applications as for instance, Zakai equation in filtering ([26, 27]), in pathwise stochastic control theory or stochastic control with

**partial**observations ...

46

### Development of geostatistical models using Stochastic Partial Differential Equations

315

### Growth of solutions of certain non-homogeneous linear differential equations with entire coefficients

**differential**

**equations**, the growth of a solution is a very important ...the

**non**-homogeneous

**linear**

**differential**equation of second ...

21

### Nonlinear damped partial differential equations and their uniform discretizations

**equations**in the absence of geometric control condition (see [ 12 ]) but also for indirect stabilization for coupled systems, that is when certain

**equations**are not directly stabilized, even though the ...

42

### Backward Stochastic Differential Equations with no driving martingale, Markov processes and associated Pseudo Partial Differential Equations

**non**- local operators are added to the classical

**partial**diﬀerential maps, and proved that, under some continuity conditions on the coeﬃcients, the BSDE provides a viscosity solution of the ...of ...

40

### Non-linear rough heat equations

**equations**driven by usual Brownian motion, for which we refer to [9] for the infinite dimensional setting and to [8] for the multiparametric ...to

**parabolic**[35, 24] or wave type [42] ...

41

### Finding all hypergeometric solutions of linear differential equations

10

### Infinite order solutions of complex linear differential equations

**differential**equation f .k/ C A k 1 .´/ f .k 1/ C C A 1 .´/ f 0 C A 0 .´/ f D 0; where A 0 .´/ ; : : : ; A k 1 .´/ are entire func- tions ...

8